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Finding the Fourth Proportional to 84,614.76, 126,923.22 and 32,010.12

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Solution

The fourth proportional to 84,614.76, 126,923.22 and 32,010.12 is: 48,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,614.76 : 126,923.22 = 32,010.12 : x
  2. Step 2: Convert to fraction form
    84,614.76/126,923.22 = 32,010.12/x
  3. Step 3: Cross multiply
    84,614.76x = 126,923.22 × 32,010.12
  4. Step 4: Simplify right side
    84,614.76x = 4,062,827,502.99
  5. Step 5: Solve for x
    x = 4,062,827,502.99/84,614.76
  6. Step 6: Final answer
    x = 48,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.