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Finding the Fourth Proportional to 65,264.91, 97,913.76 and 18,517.78

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Solution

The fourth proportional to 65,264.91, 97,913.76 and 18,517.78 is: 27,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264.91 : 97,913.76 = 18,517.78 : x
  2. Step 2: Convert to fraction form
    65,264.91/97,913.76 = 18,517.78/x
  3. Step 3: Cross multiply
    65,264.91x = 97,913.76 × 18,517.78
  4. Step 4: Simplify right side
    65,264.91x = 1,813,145,623.77
  5. Step 5: Solve for x
    x = 1,813,145,623.77/65,264.91
  6. Step 6: Final answer
    x = 27,781.33

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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.