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Finding the Fourth Proportional to 82,893.31, 124,340.82 and 66,358.47

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Solution

The fourth proportional to 82,893.31, 124,340.82 and 66,358.47 is: 99,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.31 : 124,340.82 = 66,358.47 : x
  2. Step 2: Convert to fraction form
    82,893.31/124,340.82 = 66,358.47/x
  3. Step 3: Cross multiply
    82,893.31x = 124,340.82 × 66,358.47
  4. Step 4: Simplify right side
    82,893.31x = 8,251,066,573.75
  5. Step 5: Solve for x
    x = 8,251,066,573.75/82,893.31
  6. Step 6: Final answer
    x = 99,538.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.