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Finding the Fourth Proportional to 31,618.50, 47,403.09 and 15,829.80

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Solution

The fourth proportional to 31,618.50, 47,403.09 and 15,829.80 is: 23,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,618.50 : 47,403.09 = 15,829.80 : x
  2. Step 2: Convert to fraction form
    31,618.50/47,403.09 = 15,829.80/x
  3. Step 3: Cross multiply
    31,618.50x = 47,403.09 × 15,829.80
  4. Step 4: Simplify right side
    31,618.50x = 750,381,434.08
  5. Step 5: Solve for x
    x = 750,381,434.08/31,618.50
  6. Step 6: Final answer
    x = 23,732.35

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