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Finding the Fourth Proportional to 102,278.52, 153,442.28 and 32,157.83

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Solution

The fourth proportional to 102,278.52, 153,442.28 and 32,157.83 is: 48,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278.52 : 153,442.28 = 32,157.83 : x
  2. Step 2: Convert to fraction form
    102,278.52/153,442.28 = 32,157.83/x
  3. Step 3: Cross multiply
    102,278.52x = 153,442.28 × 32,157.83
  4. Step 4: Simplify right side
    102,278.52x = 4,934,370,755.05
  5. Step 5: Solve for x
    x = 4,934,370,755.05/102,278.52
  6. Step 6: Final answer
    x = 48,244.45

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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.