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Finding the Fourth Proportional to 71,344.80, 107,017.14 and 24,594

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Solution

The fourth proportional to 71,344.80, 107,017.14 and 24,594 is: 36,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,344.80 : 107,017.14 = 24,594 : x
  2. Step 2: Convert to fraction form
    71,344.80/107,017.14 = 24,594/x
  3. Step 3: Cross multiply
    71,344.80x = 107,017.14 × 24,594
  4. Step 4: Simplify right side
    71,344.80x = 2,631,979,541.16
  5. Step 5: Solve for x
    x = 2,631,979,541.16/71,344.80
  6. Step 6: Final answer
    x = 36,890.98

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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.