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Finding the Fourth Proportional to 47,763.27, 65,921.72 and 27,616.95

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Solution

The fourth proportional to 47,763.27, 65,921.72 and 27,616.95 is: 38,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.27 : 65,921.72 = 27,616.95 : x
  2. Step 2: Convert to fraction form
    47,763.27/65,921.72 = 27,616.95/x
  3. Step 3: Cross multiply
    47,763.27x = 65,921.72 × 27,616.95
  4. Step 4: Simplify right side
    47,763.27x = 1,820,556,707.07
  5. Step 5: Solve for x
    x = 1,820,556,707.07/47,763.27
  6. Step 6: Final answer
    x = 38,116.25

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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.