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Finding the Fourth Proportional to 38,471.82, 53,099.61 and 24,321.90

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Solution

The fourth proportional to 38,471.82, 53,099.61 and 24,321.90 is: 33,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.82 : 53,099.61 = 24,321.90 : x
  2. Step 2: Convert to fraction form
    38,471.82/53,099.61 = 24,321.90/x
  3. Step 3: Cross multiply
    38,471.82x = 53,099.61 × 24,321.90
  4. Step 4: Simplify right side
    38,471.82x = 1,291,483,404.46
  5. Step 5: Solve for x
    x = 1,291,483,404.46/38,471.82
  6. Step 6: Final answer
    x = 33,569.59

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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.