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Finding the Fourth Proportional to 48,866.34, 67,431.82 and 27,646.96

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Solution

The fourth proportional to 48,866.34, 67,431.82 and 27,646.96 is: 38,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,866.34 : 67,431.82 = 27,646.96 : x
  2. Step 2: Convert to fraction form
    48,866.34/67,431.82 = 27,646.96/x
  3. Step 3: Cross multiply
    48,866.34x = 67,431.82 × 27,646.96
  4. Step 4: Simplify right side
    48,866.34x = 1,864,284,830.27
  5. Step 5: Solve for x
    x = 1,864,284,830.27/48,866.34
  6. Step 6: Final answer
    x = 38,150.69

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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.