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Finding the Fourth Proportional to 38,148.80, 52,644.20 and 21,381.80

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Solution

The fourth proportional to 38,148.80, 52,644.20 and 21,381.80 is: 29,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148.80 : 52,644.20 = 21,381.80 : x
  2. Step 2: Convert to fraction form
    38,148.80/52,644.20 = 21,381.80/x
  3. Step 3: Cross multiply
    38,148.80x = 52,644.20 × 21,381.80
  4. Step 4: Simplify right side
    38,148.80x = 1,125,627,385.43
  5. Step 5: Solve for x
    x = 1,125,627,385.43/38,148.80
  6. Step 6: Final answer
    x = 29,506.24

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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.