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Finding the Fourth Proportional to 48,866.83, 67,432.50 and 27,647.47

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Solution

The fourth proportional to 48,866.83, 67,432.50 and 27,647.47 is: 38,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,866.83 : 67,432.50 = 27,647.47 : x
  2. Step 2: Convert to fraction form
    48,866.83/67,432.50 = 27,647.47/x
  3. Step 3: Cross multiply
    48,866.83x = 67,432.50 × 27,647.47
  4. Step 4: Simplify right side
    48,866.83x = 1,864,338,020.78
  5. Step 5: Solve for x
    x = 1,864,338,020.78/48,866.83
  6. Step 6: Final answer
    x = 38,151.40

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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.