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Finding the Fourth Proportional to 67,141.60, 92,648.14 and 38,842

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Solution

The fourth proportional to 67,141.60, 92,648.14 and 38,842 is: 53,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,141.60 : 92,648.14 = 38,842 : x
  2. Step 2: Convert to fraction form
    67,141.60/92,648.14 = 38,842/x
  3. Step 3: Cross multiply
    67,141.60x = 92,648.14 × 38,842
  4. Step 4: Simplify right side
    67,141.60x = 3,598,639,053.88
  5. Step 5: Solve for x
    x = 3,598,639,053.88/67,141.60
  6. Step 6: Final answer
    x = 53,597.76

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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.