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Finding the Fourth Proportional to 53,978,505.90, 80,967,758.85 and 48,771,696.30

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Solution

The fourth proportional to 53,978,505.90, 80,967,758.85 and 48,771,696.30 is: 73,157,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,505.90 : 80,967,758.85 = 48,771,696.30 : x
  2. Step 2: Convert to fraction form
    53,978,505.90/80,967,758.85 = 48,771,696.30/x
  3. Step 3: Cross multiply
    53,978,505.90x = 80,967,758.85 × 48,771,696.30
  4. Step 4: Simplify right side
    53,978,505.90x = 3,948,934,944,723,836.50
  5. Step 5: Solve for x
    x = 3,948,934,944,723,836.50/53,978,505.90
  6. Step 6: Final answer
    x = 73,157,544.45

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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.