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Finding the Fourth Proportional to 56,113.76, 84,162.42 and 22,834.44

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Solution

The fourth proportional to 56,113.76, 84,162.42 and 22,834.44 is: 34,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,113.76 : 84,162.42 = 22,834.44 : x
  2. Step 2: Convert to fraction form
    56,113.76/84,162.42 = 22,834.44/x
  3. Step 3: Cross multiply
    56,113.76x = 84,162.42 × 22,834.44
  4. Step 4: Simplify right side
    56,113.76x = 1,921,801,729.74
  5. Step 5: Solve for x
    x = 1,921,801,729.74/56,113.76
  6. Step 6: Final answer
    x = 34,248.32

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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.