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Finding the Fourth Proportional to 29,394, 40,565.52 and 16,648.38

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Solution

The fourth proportional to 29,394, 40,565.52 and 16,648.38 is: 22,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394 : 40,565.52 = 16,648.38 : x
  2. Step 2: Convert to fraction form
    29,394/40,565.52 = 16,648.38/x
  3. Step 3: Cross multiply
    29,394x = 40,565.52 × 16,648.38
  4. Step 4: Simplify right side
    29,394x = 675,350,191.86
  5. Step 5: Solve for x
    x = 675,350,191.86/29,394
  6. Step 6: Final answer
    x = 22,975.78

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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.