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Finding the Fourth Proportional to 83,176, 124,725.12 and 27,733.12

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Solution

The fourth proportional to 83,176, 124,725.12 and 27,733.12 is: 41,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176 : 124,725.12 = 27,733.12 : x
  2. Step 2: Convert to fraction form
    83,176/124,725.12 = 27,733.12/x
  3. Step 3: Cross multiply
    83,176x = 124,725.12 × 27,733.12
  4. Step 4: Simplify right side
    83,176x = 3,459,016,719.97
  5. Step 5: Solve for x
    x = 3,459,016,719.97/83,176
  6. Step 6: Final answer
    x = 41,586.72

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