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Finding the Fourth Proportional to 71,282.64, 106,922.84 and 24,535.92

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Solution

The fourth proportional to 71,282.64, 106,922.84 and 24,535.92 is: 36,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282.64 : 106,922.84 = 24,535.92 : x
  2. Step 2: Convert to fraction form
    71,282.64/106,922.84 = 24,535.92/x
  3. Step 3: Cross multiply
    71,282.64x = 106,922.84 × 24,535.92
  4. Step 4: Simplify right side
    71,282.64x = 2,623,450,248.41
  5. Step 5: Solve for x
    x = 2,623,450,248.41/71,282.64
  6. Step 6: Final answer
    x = 36,803.49

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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.