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Finding the Fourth Proportional to 30,385.71, 45,562.77 and 13,737.78

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Solution

The fourth proportional to 30,385.71, 45,562.77 and 13,737.78 is: 20,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.71 : 45,562.77 = 13,737.78 : x
  2. Step 2: Convert to fraction form
    30,385.71/45,562.77 = 13,737.78/x
  3. Step 3: Cross multiply
    30,385.71x = 45,562.77 × 13,737.78
  4. Step 4: Simplify right side
    30,385.71x = 625,931,310.45
  5. Step 5: Solve for x
    x = 625,931,310.45/30,385.71
  6. Step 6: Final answer
    x = 20,599.53

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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.