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Finding the Fourth Proportional to 48,901.96, 67,484.91 and 27,685.31

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Solution

The fourth proportional to 48,901.96, 67,484.91 and 27,685.31 is: 38,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901.96 : 67,484.91 = 27,685.31 : x
  2. Step 2: Convert to fraction form
    48,901.96/67,484.91 = 27,685.31/x
  3. Step 3: Cross multiply
    48,901.96x = 67,484.91 × 27,685.31
  4. Step 4: Simplify right side
    48,901.96x = 1,868,340,653.67
  5. Step 5: Solve for x
    x = 1,868,340,653.67/48,901.96
  6. Step 6: Final answer
    x = 38,205.84

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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.