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Finding the Fourth Proportional to 47,540, 71,254.32 and 16,347.68

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Solution

The fourth proportional to 47,540, 71,254.32 and 16,347.68 is: 24,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540 : 71,254.32 = 16,347.68 : x
  2. Step 2: Convert to fraction form
    47,540/71,254.32 = 16,347.68/x
  3. Step 3: Cross multiply
    47,540x = 71,254.32 × 16,347.68
  4. Step 4: Simplify right side
    47,540x = 1,164,842,821.98
  5. Step 5: Solve for x
    x = 1,164,842,821.98/47,540
  6. Step 6: Final answer
    x = 24,502.37

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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.