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Finding the Fourth Proportional to 42,438.64, 63,658.14 and 14,358.92

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Solution

The fourth proportional to 42,438.64, 63,658.14 and 14,358.92 is: 21,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,438.64 : 63,658.14 = 14,358.92 : x
  2. Step 2: Convert to fraction form
    42,438.64/63,658.14 = 14,358.92/x
  3. Step 3: Cross multiply
    42,438.64x = 63,658.14 × 14,358.92
  4. Step 4: Simplify right side
    42,438.64x = 914,062,139.61
  5. Step 5: Solve for x
    x = 914,062,139.61/42,438.64
  6. Step 6: Final answer
    x = 21,538.44

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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.