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Finding the Fourth Proportional to 83,266.82, 114,905.34 and 47,468.36

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Solution

The fourth proportional to 83,266.82, 114,905.34 and 47,468.36 is: 65,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.82 : 114,905.34 = 47,468.36 : x
  2. Step 2: Convert to fraction form
    83,266.82/114,905.34 = 47,468.36/x
  3. Step 3: Cross multiply
    83,266.82x = 114,905.34 × 47,468.36
  4. Step 4: Simplify right side
    83,266.82x = 5,454,367,470.52
  5. Step 5: Solve for x
    x = 5,454,367,470.52/83,266.82
  6. Step 6: Final answer
    x = 65,504.70

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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.