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Finding the Fourth Proportional to 32,078.38, 44,266.36 and 17,737.38

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Solution

The fourth proportional to 32,078.38, 44,266.36 and 17,737.38 is: 24,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.38 : 44,266.36 = 17,737.38 : x
  2. Step 2: Convert to fraction form
    32,078.38/44,266.36 = 17,737.38/x
  3. Step 3: Cross multiply
    32,078.38x = 44,266.36 × 17,737.38
  4. Step 4: Simplify right side
    32,078.38x = 785,169,248.54
  5. Step 5: Solve for x
    x = 785,169,248.54/32,078.38
  6. Step 6: Final answer
    x = 24,476.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.