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Finding the Fourth Proportional to 53,978,655.40, 80,967,983.10 and 48,771,845.80

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Solution

The fourth proportional to 53,978,655.40, 80,967,983.10 and 48,771,845.80 is: 73,157,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,655.40 : 80,967,983.10 = 48,771,845.80 : x
  2. Step 2: Convert to fraction form
    53,978,655.40/80,967,983.10 = 48,771,845.80/x
  3. Step 3: Cross multiply
    53,978,655.40x = 80,967,983.10 × 48,771,845.80
  4. Step 4: Simplify right side
    53,978,655.40x = 3,948,957,986,490,205.50
  5. Step 5: Solve for x
    x = 3,948,957,986,490,205.50/53,978,655.40
  6. Step 6: Final answer
    x = 73,157,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.