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Finding the Fourth Proportional to 47,598, 71,400.59 and 16,008.15

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Solution

The fourth proportional to 47,598, 71,400.59 and 16,008.15 is: 24,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,598 : 71,400.59 = 16,008.15 : x
  2. Step 2: Convert to fraction form
    47,598/71,400.59 = 16,008.15/x
  3. Step 3: Cross multiply
    47,598x = 71,400.59 × 16,008.15
  4. Step 4: Simplify right side
    47,598x = 1,142,991,354.81
  5. Step 5: Solve for x
    x = 1,142,991,354.81/47,598
  6. Step 6: Final answer
    x = 24,013.43

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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.