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Finding the Fourth Proportional to 71,284.64, 106,925.84 and 24,537.92

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Solution

The fourth proportional to 71,284.64, 106,925.84 and 24,537.92 is: 36,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284.64 : 106,925.84 = 24,537.92 : x
  2. Step 2: Convert to fraction form
    71,284.64/106,925.84 = 24,537.92/x
  3. Step 3: Cross multiply
    71,284.64x = 106,925.84 × 24,537.92
  4. Step 4: Simplify right side
    71,284.64x = 2,623,737,707.85
  5. Step 5: Solve for x
    x = 2,623,737,707.85/71,284.64
  6. Step 6: Final answer
    x = 36,806.49

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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.