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Finding the Fourth Proportional to 48,842.64, 67,329.36 and 38,213.82

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Solution

The fourth proportional to 48,842.64, 67,329.36 and 38,213.82 is: 52,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,842.64 : 67,329.36 = 38,213.82 : x
  2. Step 2: Convert to fraction form
    48,842.64/67,329.36 = 38,213.82/x
  3. Step 3: Cross multiply
    48,842.64x = 67,329.36 × 38,213.82
  4. Step 4: Simplify right side
    48,842.64x = 2,572,912,043.76
  5. Step 5: Solve for x
    x = 2,572,912,043.76/48,842.64
  6. Step 6: Final answer
    x = 52,677.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.