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Finding the Fourth Proportional to 84,642.88, 126,832.80 and 32,023.84

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Solution

The fourth proportional to 84,642.88, 126,832.80 and 32,023.84 is: 47,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.88 : 126,832.80 = 32,023.84 : x
  2. Step 2: Convert to fraction form
    84,642.88/126,832.80 = 32,023.84/x
  3. Step 3: Cross multiply
    84,642.88x = 126,832.80 × 32,023.84
  4. Step 4: Simplify right side
    84,642.88x = 4,061,673,293.95
  5. Step 5: Solve for x
    x = 4,061,673,293.95/84,642.88
  6. Step 6: Final answer
    x = 47,986.00

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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.