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Finding the Fourth Proportional to 47,765.72, 65,918.04 and 27,620.66

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Solution

The fourth proportional to 47,765.72, 65,918.04 and 27,620.66 is: 38,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.72 : 65,918.04 = 27,620.66 : x
  2. Step 2: Convert to fraction form
    47,765.72/65,918.04 = 27,620.66/x
  3. Step 3: Cross multiply
    47,765.72x = 65,918.04 × 27,620.66
  4. Step 4: Simplify right side
    47,765.72x = 1,820,699,831.92
  5. Step 5: Solve for x
    x = 1,820,699,831.92/47,765.72
  6. Step 6: Final answer
    x = 38,117.29

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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.