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Finding the Fourth Proportional to 47,743.50, 65,895.66 and 27,601.20

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Solution

The fourth proportional to 47,743.50, 65,895.66 and 27,601.20 is: 38,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743.50 : 65,895.66 = 27,601.20 : x
  2. Step 2: Convert to fraction form
    47,743.50/65,895.66 = 27,601.20/x
  3. Step 3: Cross multiply
    47,743.50x = 65,895.66 × 27,601.20
  4. Step 4: Simplify right side
    47,743.50x = 1,818,799,290.79
  5. Step 5: Solve for x
    x = 1,818,799,290.79/47,743.50
  6. Step 6: Final answer
    x = 38,095.22

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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.