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Finding the Fourth Proportional to 83,264.52, 114,905.22 and 47,456.04

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Solution

The fourth proportional to 83,264.52, 114,905.22 and 47,456.04 is: 65,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.52 : 114,905.22 = 47,456.04 : x
  2. Step 2: Convert to fraction form
    83,264.52/114,905.22 = 47,456.04/x
  3. Step 3: Cross multiply
    83,264.52x = 114,905.22 × 47,456.04
  4. Step 4: Simplify right side
    83,264.52x = 5,452,946,716.53
  5. Step 5: Solve for x
    x = 5,452,946,716.53/83,264.52
  6. Step 6: Final answer
    x = 65,489.44

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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.