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Finding the Fourth Proportional to 65,121.29, 97,689.72 and 22,992.71

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Solution

The fourth proportional to 65,121.29, 97,689.72 and 22,992.71 is: 34,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121.29 : 97,689.72 = 22,992.71 : x
  2. Step 2: Convert to fraction form
    65,121.29/97,689.72 = 22,992.71/x
  3. Step 3: Cross multiply
    65,121.29x = 97,689.72 × 22,992.71
  4. Step 4: Simplify right side
    65,121.29x = 2,246,150,913.49
  5. Step 5: Solve for x
    x = 2,246,150,913.49/65,121.29
  6. Step 6: Final answer
    x = 34,491.81

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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.