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Finding the Fourth Proportional to 102,380.46, 153,573.12 and 27,500.70

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Solution

The fourth proportional to 102,380.46, 153,573.12 and 27,500.70 is: 41,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,380.46 : 153,573.12 = 27,500.70 : x
  2. Step 2: Convert to fraction form
    102,380.46/153,573.12 = 27,500.70/x
  3. Step 3: Cross multiply
    102,380.46x = 153,573.12 × 27,500.70
  4. Step 4: Simplify right side
    102,380.46x = 4,223,368,301.18
  5. Step 5: Solve for x
    x = 4,223,368,301.18/102,380.46
  6. Step 6: Final answer
    x = 41,251.70

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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.