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Finding the Fourth Proportional to 48,502.26, 66,932.46 and 27,281.54

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Solution

The fourth proportional to 48,502.26, 66,932.46 and 27,281.54 is: 37,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.26 : 66,932.46 = 27,281.54 : x
  2. Step 2: Convert to fraction form
    48,502.26/66,932.46 = 27,281.54/x
  3. Step 3: Cross multiply
    48,502.26x = 66,932.46 × 27,281.54
  4. Step 4: Simplify right side
    48,502.26x = 1,826,020,752.12
  5. Step 5: Solve for x
    x = 1,826,020,752.12/48,502.26
  6. Step 6: Final answer
    x = 37,648.16

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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.