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Finding the Fourth Proportional to 48,013.71, 71,881.03 and 27,962

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Solution

The fourth proportional to 48,013.71, 71,881.03 and 27,962 is: 41,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,013.71 : 71,881.03 = 27,962 : x
  2. Step 2: Convert to fraction form
    48,013.71/71,881.03 = 27,962/x
  3. Step 3: Cross multiply
    48,013.71x = 71,881.03 × 27,962
  4. Step 4: Simplify right side
    48,013.71x = 2,009,937,360.86
  5. Step 5: Solve for x
    x = 2,009,937,360.86/48,013.71
  6. Step 6: Final answer
    x = 41,861.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.