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Finding the Fourth Proportional to 31,176.38, 46,737.84 and 11,444.78

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Solution

The fourth proportional to 31,176.38, 46,737.84 and 11,444.78 is: 17,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.38 : 46,737.84 = 11,444.78 : x
  2. Step 2: Convert to fraction form
    31,176.38/46,737.84 = 11,444.78/x
  3. Step 3: Cross multiply
    31,176.38x = 46,737.84 × 11,444.78
  4. Step 4: Simplify right side
    31,176.38x = 534,904,296.48
  5. Step 5: Solve for x
    x = 534,904,296.48/31,176.38
  6. Step 6: Final answer
    x = 17,157.36

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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.