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Finding the Fourth Proportional to 100,863.31, 151,305.92 and 37,713.68

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Solution

The fourth proportional to 100,863.31, 151,305.92 and 37,713.68 is: 56,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863.31 : 151,305.92 = 37,713.68 : x
  2. Step 2: Convert to fraction form
    100,863.31/151,305.92 = 37,713.68/x
  3. Step 3: Cross multiply
    100,863.31x = 151,305.92 × 37,713.68
  4. Step 4: Simplify right side
    100,863.31x = 5,706,303,875.95
  5. Step 5: Solve for x
    x = 5,706,303,875.95/100,863.31
  6. Step 6: Final answer
    x = 56,574.62

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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.