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Finding the Fourth Proportional to 60,092.24, 82,932.24 and 34,940

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Solution

The fourth proportional to 60,092.24, 82,932.24 and 34,940 is: 48,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,092.24 : 82,932.24 = 34,940 : x
  2. Step 2: Convert to fraction form
    60,092.24/82,932.24 = 34,940/x
  3. Step 3: Cross multiply
    60,092.24x = 82,932.24 × 34,940
  4. Step 4: Simplify right side
    60,092.24x = 2,897,652,465.60
  5. Step 5: Solve for x
    x = 2,897,652,465.60/60,092.24
  6. Step 6: Final answer
    x = 48,220.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.