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Finding the Fourth Proportional to 71,754.66, 107,563.14 and 34,304.72

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Solution

The fourth proportional to 71,754.66, 107,563.14 and 34,304.72 is: 51,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,754.66 : 107,563.14 = 34,304.72 : x
  2. Step 2: Convert to fraction form
    71,754.66/107,563.14 = 34,304.72/x
  3. Step 3: Cross multiply
    71,754.66x = 107,563.14 × 34,304.72
  4. Step 4: Simplify right side
    71,754.66x = 3,689,922,862.21
  5. Step 5: Solve for x
    x = 3,689,922,862.21/71,754.66
  6. Step 6: Final answer
    x = 51,424.16

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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.