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Finding the Fourth Proportional to 101,382.35, 152,057.58 and 63,827.46

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Solution

The fourth proportional to 101,382.35, 152,057.58 and 63,827.46 is: 95,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382.35 : 152,057.58 = 63,827.46 : x
  2. Step 2: Convert to fraction form
    101,382.35/152,057.58 = 63,827.46/x
  3. Step 3: Cross multiply
    101,382.35x = 152,057.58 × 63,827.46
  4. Step 4: Simplify right side
    101,382.35x = 9,705,449,105.15
  5. Step 5: Solve for x
    x = 9,705,449,105.15/101,382.35
  6. Step 6: Final answer
    x = 95,731.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.