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Finding the Fourth Proportional to 52,498.71, 72,450.14 and 29,841.50

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Solution

The fourth proportional to 52,498.71, 72,450.14 and 29,841.50 is: 41,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.71 : 72,450.14 = 29,841.50 : x
  2. Step 2: Convert to fraction form
    52,498.71/72,450.14 = 29,841.50/x
  3. Step 3: Cross multiply
    52,498.71x = 72,450.14 × 29,841.50
  4. Step 4: Simplify right side
    52,498.71x = 2,162,020,884.73
  5. Step 5: Solve for x
    x = 2,162,020,884.73/52,498.71
  6. Step 6: Final answer
    x = 41,182.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.