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Finding the Fourth Proportional to 38,614.73, 53,269.38 and 24,291.90

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Solution

The fourth proportional to 38,614.73, 53,269.38 and 24,291.90 is: 33,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.73 : 53,269.38 = 24,291.90 : x
  2. Step 2: Convert to fraction form
    38,614.73/53,269.38 = 24,291.90/x
  3. Step 3: Cross multiply
    38,614.73x = 53,269.38 × 24,291.90
  4. Step 4: Simplify right side
    38,614.73x = 1,294,014,452.02
  5. Step 5: Solve for x
    x = 1,294,014,452.02/38,614.73
  6. Step 6: Final answer
    x = 33,510.91

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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.