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Finding the Fourth Proportional to 74,438.52, 111,658.54 and 21,849

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Solution

The fourth proportional to 74,438.52, 111,658.54 and 21,849 is: 32,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,438.52 : 111,658.54 = 21,849 : x
  2. Step 2: Convert to fraction form
    74,438.52/111,658.54 = 21,849/x
  3. Step 3: Cross multiply
    74,438.52x = 111,658.54 × 21,849
  4. Step 4: Simplify right side
    74,438.52x = 2,439,627,440.46
  5. Step 5: Solve for x
    x = 2,439,627,440.46/74,438.52
  6. Step 6: Final answer
    x = 32,773.72

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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.