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Finding the Fourth Proportional to 65,812.56, 98,695.75 and 18,414.92

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Solution

The fourth proportional to 65,812.56, 98,695.75 and 18,414.92 is: 27,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812.56 : 98,695.75 = 18,414.92 : x
  2. Step 2: Convert to fraction form
    65,812.56/98,695.75 = 18,414.92/x
  3. Step 3: Cross multiply
    65,812.56x = 98,695.75 × 18,414.92
  4. Step 4: Simplify right side
    65,812.56x = 1,817,474,340.59
  5. Step 5: Solve for x
    x = 1,817,474,340.59/65,812.56
  6. Step 6: Final answer
    x = 27,615.92

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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.