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Finding the Fourth Proportional to 84,584.52, 116,731.80 and 48,773.88

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Solution

The fourth proportional to 84,584.52, 116,731.80 and 48,773.88 is: 67,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,584.52 : 116,731.80 = 48,773.88 : x
  2. Step 2: Convert to fraction form
    84,584.52/116,731.80 = 48,773.88/x
  3. Step 3: Cross multiply
    84,584.52x = 116,731.80 × 48,773.88
  4. Step 4: Simplify right side
    84,584.52x = 5,693,462,805.38
  5. Step 5: Solve for x
    x = 5,693,462,805.38/84,584.52
  6. Step 6: Final answer
    x = 67,310.93

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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.