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Finding the Fourth Proportional to 83,972.54, 115,906.47 and 67,094.30

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Solution

The fourth proportional to 83,972.54, 115,906.47 and 67,094.30 is: 92,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,972.54 : 115,906.47 = 67,094.30 : x
  2. Step 2: Convert to fraction form
    83,972.54/115,906.47 = 67,094.30/x
  3. Step 3: Cross multiply
    83,972.54x = 115,906.47 × 67,094.30
  4. Step 4: Simplify right side
    83,972.54x = 7,776,663,470.12
  5. Step 5: Solve for x
    x = 7,776,663,470.12/83,972.54
  6. Step 6: Final answer
    x = 92,609.60

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1.5x scale

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.