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Finding the Fourth Proportional to 38,705.80, 53,391.28 and 24,342.80

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Solution

The fourth proportional to 38,705.80, 53,391.28 and 24,342.80 is: 33,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.80 : 53,391.28 = 24,342.80 : x
  2. Step 2: Convert to fraction form
    38,705.80/53,391.28 = 24,342.80/x
  3. Step 3: Cross multiply
    38,705.80x = 53,391.28 × 24,342.80
  4. Step 4: Simplify right side
    38,705.80x = 1,299,693,250.78
  5. Step 5: Solve for x
    x = 1,299,693,250.78/38,705.80
  6. Step 6: Final answer
    x = 33,578.77

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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.