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Finding the Fourth Proportional to 52,006.16, 71,801.16 and 34,127.12

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Solution

The fourth proportional to 52,006.16, 71,801.16 and 34,127.12 is: 47,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.16 : 71,801.16 = 34,127.12 : x
  2. Step 2: Convert to fraction form
    52,006.16/71,801.16 = 34,127.12/x
  3. Step 3: Cross multiply
    52,006.16x = 71,801.16 × 34,127.12
  4. Step 4: Simplify right side
    52,006.16x = 2,450,366,803.46
  5. Step 5: Solve for x
    x = 2,450,366,803.46/52,006.16
  6. Step 6: Final answer
    x = 47,116.86

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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.