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Finding the Fourth Proportional to 83,266.31, 114,904.66 and 47,467.86

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Solution

The fourth proportional to 83,266.31, 114,904.66 and 47,467.86 is: 65,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.31 : 114,904.66 = 47,467.86 : x
  2. Step 2: Convert to fraction form
    83,266.31/114,904.66 = 47,467.86/x
  3. Step 3: Cross multiply
    83,266.31x = 114,904.66 × 47,467.86
  4. Step 4: Simplify right side
    83,266.31x = 5,454,278,314.23
  5. Step 5: Solve for x
    x = 5,454,278,314.23/83,266.31
  6. Step 6: Final answer
    x = 65,504.02

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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.