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Finding the Fourth Proportional to 65,718.72, 98,568.36 and 24,156

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Solution

The fourth proportional to 65,718.72, 98,568.36 and 24,156 is: 36,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.72 : 98,568.36 = 24,156 : x
  2. Step 2: Convert to fraction form
    65,718.72/98,568.36 = 24,156/x
  3. Step 3: Cross multiply
    65,718.72x = 98,568.36 × 24,156
  4. Step 4: Simplify right side
    65,718.72x = 2,381,017,304.16
  5. Step 5: Solve for x
    x = 2,381,017,304.16/65,718.72
  6. Step 6: Final answer
    x = 36,230.43

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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.