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Finding the Fourth Proportional to 49,427.68, 68,215.92 and 28,210

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Solution

The fourth proportional to 49,427.68, 68,215.92 and 28,210 is: 38,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,427.68 : 68,215.92 = 28,210 : x
  2. Step 2: Convert to fraction form
    49,427.68/68,215.92 = 28,210/x
  3. Step 3: Cross multiply
    49,427.68x = 68,215.92 × 28,210
  4. Step 4: Simplify right side
    49,427.68x = 1,924,371,103.20
  5. Step 5: Solve for x
    x = 1,924,371,103.20/49,427.68
  6. Step 6: Final answer
    x = 38,933.07

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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.