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Finding the Fourth Proportional to 48,801.32, 67,344.96 and 27,580.16

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Solution

The fourth proportional to 48,801.32, 67,344.96 and 27,580.16 is: 38,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.32 : 67,344.96 = 27,580.16 : x
  2. Step 2: Convert to fraction form
    48,801.32/67,344.96 = 27,580.16/x
  3. Step 3: Cross multiply
    48,801.32x = 67,344.96 × 27,580.16
  4. Step 4: Simplify right side
    48,801.32x = 1,857,384,771.99
  5. Step 5: Solve for x
    x = 1,857,384,771.99/48,801.32
  6. Step 6: Final answer
    x = 38,060.13

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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.