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Finding the Fourth Proportional to 83,266.75, 114,905.27 and 47,468.30

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Solution

The fourth proportional to 83,266.75, 114,905.27 and 47,468.30 is: 65,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.75 : 114,905.27 = 47,468.30 : x
  2. Step 2: Convert to fraction form
    83,266.75/114,905.27 = 47,468.30/x
  3. Step 3: Cross multiply
    83,266.75x = 114,905.27 × 47,468.30
  4. Step 4: Simplify right side
    83,266.75x = 5,454,357,016.07
  5. Step 5: Solve for x
    x = 5,454,357,016.07/83,266.75
  6. Step 6: Final answer
    x = 65,504.63

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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.