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Finding the Fourth Proportional to 38,454.80, 57,714.60 and 17,427.20

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Solution

The fourth proportional to 38,454.80, 57,714.60 and 17,427.20 is: 26,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.80 : 57,714.60 = 17,427.20 : x
  2. Step 2: Convert to fraction form
    38,454.80/57,714.60 = 17,427.20/x
  3. Step 3: Cross multiply
    38,454.80x = 57,714.60 × 17,427.20
  4. Step 4: Simplify right side
    38,454.80x = 1,005,803,877.12
  5. Step 5: Solve for x
    x = 1,005,803,877.12/38,454.80
  6. Step 6: Final answer
    x = 26,155.48

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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.