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Finding the Fourth Proportional to 67,842.12, 93,540.78 and 64,101

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Solution

The fourth proportional to 67,842.12, 93,540.78 and 64,101 is: 88,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.12 : 93,540.78 = 64,101 : x
  2. Step 2: Convert to fraction form
    67,842.12/93,540.78 = 64,101/x
  3. Step 3: Cross multiply
    67,842.12x = 93,540.78 × 64,101
  4. Step 4: Simplify right side
    67,842.12x = 5,996,057,538.78
  5. Step 5: Solve for x
    x = 5,996,057,538.78/67,842.12
  6. Step 6: Final answer
    x = 88,382.52

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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.