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Finding the Fourth Proportional to 38,474.69, 53,117.15 and 29,328.24

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Solution

The fourth proportional to 38,474.69, 53,117.15 and 29,328.24 is: 40,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.69 : 53,117.15 = 29,328.24 : x
  2. Step 2: Convert to fraction form
    38,474.69/53,117.15 = 29,328.24/x
  3. Step 3: Cross multiply
    38,474.69x = 53,117.15 × 29,328.24
  4. Step 4: Simplify right side
    38,474.69x = 1,557,832,177.49
  5. Step 5: Solve for x
    x = 1,557,832,177.49/38,474.69
  6. Step 6: Final answer
    x = 40,489.80

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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.