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Finding the Fourth Proportional to 47,600, 71,403.59 and 16,010.15

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Solution

The fourth proportional to 47,600, 71,403.59 and 16,010.15 is: 24,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600 : 71,403.59 = 16,010.15 : x
  2. Step 2: Convert to fraction form
    47,600/71,403.59 = 16,010.15/x
  3. Step 3: Cross multiply
    47,600x = 71,403.59 × 16,010.15
  4. Step 4: Simplify right side
    47,600x = 1,143,182,186.44
  5. Step 5: Solve for x
    x = 1,143,182,186.44/47,600
  6. Step 6: Final answer
    x = 24,016.43

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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.