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Finding the Fourth Proportional to 102,520.38, 153,773.01 and 49,250.46

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Solution

The fourth proportional to 102,520.38, 153,773.01 and 49,250.46 is: 73,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,520.38 : 153,773.01 = 49,250.46 : x
  2. Step 2: Convert to fraction form
    102,520.38/153,773.01 = 49,250.46/x
  3. Step 3: Cross multiply
    102,520.38x = 153,773.01 × 49,250.46
  4. Step 4: Simplify right side
    102,520.38x = 7,573,391,478.08
  5. Step 5: Solve for x
    x = 7,573,391,478.08/102,520.38
  6. Step 6: Final answer
    x = 73,872.06

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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.