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Finding the Fourth Proportional to 102,285.38, 153,452.22 and 32,164.70

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Solution

The fourth proportional to 102,285.38, 153,452.22 and 32,164.70 is: 48,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285.38 : 153,452.22 = 32,164.70 : x
  2. Step 2: Convert to fraction form
    102,285.38/153,452.22 = 32,164.70/x
  3. Step 3: Cross multiply
    102,285.38x = 153,452.22 × 32,164.70
  4. Step 4: Simplify right side
    102,285.38x = 4,935,744,620.63
  5. Step 5: Solve for x
    x = 4,935,744,620.63/102,285.38
  6. Step 6: Final answer
    x = 48,254.64

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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.