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Finding the Fourth Proportional to 92,340.72, 127,645.38 and 82,368

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Solution

The fourth proportional to 92,340.72, 127,645.38 and 82,368 is: 113,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,340.72 : 127,645.38 = 82,368 : x
  2. Step 2: Convert to fraction form
    92,340.72/127,645.38 = 82,368/x
  3. Step 3: Cross multiply
    92,340.72x = 127,645.38 × 82,368
  4. Step 4: Simplify right side
    92,340.72x = 10,513,894,659.84
  5. Step 5: Solve for x
    x = 10,513,894,659.84/92,340.72
  6. Step 6: Final answer
    x = 113,859.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.