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Finding the Fourth Proportional to 36,032.71, 54,050.28 and 9,737.68

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Solution

The fourth proportional to 36,032.71, 54,050.28 and 9,737.68 is: 14,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,032.71 : 54,050.28 = 9,737.68 : x
  2. Step 2: Convert to fraction form
    36,032.71/54,050.28 = 9,737.68/x
  3. Step 3: Cross multiply
    36,032.71x = 54,050.28 × 9,737.68
  4. Step 4: Simplify right side
    36,032.71x = 526,324,330.55
  5. Step 5: Solve for x
    x = 526,324,330.55/36,032.71
  6. Step 6: Final answer
    x = 14,606.85

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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.