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Finding the Fourth Proportional to 81,155.52, 121,718.70 and 36,774

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Solution

The fourth proportional to 81,155.52, 121,718.70 and 36,774 is: 55,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,155.52 : 121,718.70 = 36,774 : x
  2. Step 2: Convert to fraction form
    81,155.52/121,718.70 = 36,774/x
  3. Step 3: Cross multiply
    81,155.52x = 121,718.70 × 36,774
  4. Step 4: Simplify right side
    81,155.52x = 4,476,083,473.80
  5. Step 5: Solve for x
    x = 4,476,083,473.80/81,155.52
  6. Step 6: Final answer
    x = 55,154.39

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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.