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Finding the Fourth Proportional to 65,224.73, 97,834.03 and 23,104.15

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Solution

The fourth proportional to 65,224.73, 97,834.03 and 23,104.15 is: 34,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.73 : 97,834.03 = 23,104.15 : x
  2. Step 2: Convert to fraction form
    65,224.73/97,834.03 = 23,104.15/x
  3. Step 3: Cross multiply
    65,224.73x = 97,834.03 × 23,104.15
  4. Step 4: Simplify right side
    65,224.73x = 2,260,371,801.88
  5. Step 5: Solve for x
    x = 2,260,371,801.88/65,224.73
  6. Step 6: Final answer
    x = 34,655.13

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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.