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Finding the Fourth Proportional to 65,697.68, 98,545.14 and 21,324.36

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Solution

The fourth proportional to 65,697.68, 98,545.14 and 21,324.36 is: 31,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,697.68 : 98,545.14 = 21,324.36 : x
  2. Step 2: Convert to fraction form
    65,697.68/98,545.14 = 21,324.36/x
  3. Step 3: Cross multiply
    65,697.68x = 98,545.14 × 21,324.36
  4. Step 4: Simplify right side
    65,697.68x = 2,101,412,411.15
  5. Step 5: Solve for x
    x = 2,101,412,411.15/65,697.68
  6. Step 6: Final answer
    x = 31,986.10

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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.