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Finding the Fourth Proportional to 84,586.86, 126,870.48 and 22,262.22

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Solution

The fourth proportional to 84,586.86, 126,870.48 and 22,262.22 is: 33,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,586.86 : 126,870.48 = 22,262.22 : x
  2. Step 2: Convert to fraction form
    84,586.86/126,870.48 = 22,262.22/x
  3. Step 3: Cross multiply
    84,586.86x = 126,870.48 × 22,262.22
  4. Step 4: Simplify right side
    84,586.86x = 2,824,418,537.27
  5. Step 5: Solve for x
    x = 2,824,418,537.27/84,586.86
  6. Step 6: Final answer
    x = 33,390.75

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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.