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Finding the Fourth Proportional to 47,722.72, 65,867.03 and 27,580.45

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Solution

The fourth proportional to 47,722.72, 65,867.03 and 27,580.45 is: 38,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.72 : 65,867.03 = 27,580.45 : x
  2. Step 2: Convert to fraction form
    47,722.72/65,867.03 = 27,580.45/x
  3. Step 3: Cross multiply
    47,722.72x = 65,867.03 × 27,580.45
  4. Step 4: Simplify right side
    47,722.72x = 1,816,642,327.56
  5. Step 5: Solve for x
    x = 1,816,642,327.56/47,722.72
  6. Step 6: Final answer
    x = 38,066.61

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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.