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Finding the Fourth Proportional to 48,253.20, 66,576.80 and 27,830.32

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Solution

The fourth proportional to 48,253.20, 66,576.80 and 27,830.32 is: 38,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,253.20 : 66,576.80 = 27,830.32 : x
  2. Step 2: Convert to fraction form
    48,253.20/66,576.80 = 27,830.32/x
  3. Step 3: Cross multiply
    48,253.20x = 66,576.80 × 27,830.32
  4. Step 4: Simplify right side
    48,253.20x = 1,852,853,648.58
  5. Step 5: Solve for x
    x = 1,852,853,648.58/48,253.20
  6. Step 6: Final answer
    x = 38,398.57

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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.