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Finding the Fourth Proportional to 38,578.80, 53,244.42 and 24,432.96

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Solution

The fourth proportional to 38,578.80, 53,244.42 and 24,432.96 is: 33,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.80 : 53,244.42 = 24,432.96 : x
  2. Step 2: Convert to fraction form
    38,578.80/53,244.42 = 24,432.96/x
  3. Step 3: Cross multiply
    38,578.80x = 53,244.42 × 24,432.96
  4. Step 4: Simplify right side
    38,578.80x = 1,300,918,784.08
  5. Step 5: Solve for x
    x = 1,300,918,784.08/38,578.80
  6. Step 6: Final answer
    x = 33,721.08

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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.