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Finding the Fourth Proportional to 65,236.75, 97,855.13 and 15,988.75

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Solution

The fourth proportional to 65,236.75, 97,855.13 and 15,988.75 is: 23,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236.75 : 97,855.13 = 15,988.75 : x
  2. Step 2: Convert to fraction form
    65,236.75/97,855.13 = 15,988.75/x
  3. Step 3: Cross multiply
    65,236.75x = 97,855.13 × 15,988.75
  4. Step 4: Simplify right side
    65,236.75x = 1,564,581,209.79
  5. Step 5: Solve for x
    x = 1,564,581,209.79/65,236.75
  6. Step 6: Final answer
    x = 23,983.13

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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.