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Finding the Fourth Proportional to 47,765.82, 65,922.90 and 27,618.81

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Solution

The fourth proportional to 47,765.82, 65,922.90 and 27,618.81 is: 38,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.82 : 65,922.90 = 27,618.81 : x
  2. Step 2: Convert to fraction form
    47,765.82/65,922.90 = 27,618.81/x
  3. Step 3: Cross multiply
    47,765.82x = 65,922.90 × 27,618.81
  4. Step 4: Simplify right side
    47,765.82x = 1,820,712,049.75
  5. Step 5: Solve for x
    x = 1,820,712,049.75/47,765.82
  6. Step 6: Final answer
    x = 38,117.47

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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.