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Finding the Fourth Proportional to 92,497.16, 138,522.17 and 52,934.33

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Solution

The fourth proportional to 92,497.16, 138,522.17 and 52,934.33 is: 79,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,497.16 : 138,522.17 = 52,934.33 : x
  2. Step 2: Convert to fraction form
    92,497.16/138,522.17 = 52,934.33/x
  3. Step 3: Cross multiply
    92,497.16x = 138,522.17 × 52,934.33
  4. Step 4: Simplify right side
    92,497.16x = 7,332,577,301.81
  5. Step 5: Solve for x
    x = 7,332,577,301.81/92,497.16
  6. Step 6: Final answer
    x = 79,273.54

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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.