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Finding the Fourth Proportional to 38,225.52, 52,732.82 and 24,800.99

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Solution

The fourth proportional to 38,225.52, 52,732.82 and 24,800.99 is: 34,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225.52 : 52,732.82 = 24,800.99 : x
  2. Step 2: Convert to fraction form
    38,225.52/52,732.82 = 24,800.99/x
  3. Step 3: Cross multiply
    38,225.52x = 52,732.82 × 24,800.99
  4. Step 4: Simplify right side
    38,225.52x = 1,307,825,939.83
  5. Step 5: Solve for x
    x = 1,307,825,939.83/38,225.52
  6. Step 6: Final answer
    x = 34,213.42

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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.