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Finding the Fourth Proportional to 172,484.28, 258,726.42 and 47,825.28

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Solution

The fourth proportional to 172,484.28, 258,726.42 and 47,825.28 is: 71,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,484.28 : 258,726.42 = 47,825.28 : x
  2. Step 2: Convert to fraction form
    172,484.28/258,726.42 = 47,825.28/x
  3. Step 3: Cross multiply
    172,484.28x = 258,726.42 × 47,825.28
  4. Step 4: Simplify right side
    172,484.28x = 12,373,663,479.90
  5. Step 5: Solve for x
    x = 12,373,663,479.90/172,484.28
  6. Step 6: Final answer
    x = 71,737.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.