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Finding the Fourth Proportional to 83,267.25, 114,905.96 and 47,468.80

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Solution

The fourth proportional to 83,267.25, 114,905.96 and 47,468.80 is: 65,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267.25 : 114,905.96 = 47,468.80 : x
  2. Step 2: Convert to fraction form
    83,267.25/114,905.96 = 47,468.80/x
  3. Step 3: Cross multiply
    83,267.25x = 114,905.96 × 47,468.80
  4. Step 4: Simplify right side
    83,267.25x = 5,454,447,222.17
  5. Step 5: Solve for x
    x = 5,454,447,222.17/83,267.25
  6. Step 6: Final answer
    x = 65,505.32

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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.