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Finding the Fourth Proportional to 48,765.32, 67,291.38 and 27,541.64

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Solution

The fourth proportional to 48,765.32, 67,291.38 and 27,541.64 is: 38,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.32 : 67,291.38 = 27,541.64 : x
  2. Step 2: Convert to fraction form
    48,765.32/67,291.38 = 27,541.64/x
  3. Step 3: Cross multiply
    48,765.32x = 67,291.38 × 27,541.64
  4. Step 4: Simplify right side
    48,765.32x = 1,853,314,963.06
  5. Step 5: Solve for x
    x = 1,853,314,963.06/48,765.32
  6. Step 6: Final answer
    x = 38,004.77

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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.