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Finding the Fourth Proportional to 38,534.80, 57,780.32 and 15,148.48

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Solution

The fourth proportional to 38,534.80, 57,780.32 and 15,148.48 is: 22,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.80 : 57,780.32 = 15,148.48 : x
  2. Step 2: Convert to fraction form
    38,534.80/57,780.32 = 15,148.48/x
  3. Step 3: Cross multiply
    38,534.80x = 57,780.32 × 15,148.48
  4. Step 4: Simplify right side
    38,534.80x = 875,284,021.91
  5. Step 5: Solve for x
    x = 875,284,021.91/38,534.80
  6. Step 6: Final answer
    x = 22,714.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.