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Finding the Fourth Proportional to 49,427.76, 68,215.16 and 28,210.20

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Solution

The fourth proportional to 49,427.76, 68,215.16 and 28,210.20 is: 38,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,427.76 : 68,215.16 = 28,210.20 : x
  2. Step 2: Convert to fraction form
    49,427.76/68,215.16 = 28,210.20/x
  3. Step 3: Cross multiply
    49,427.76x = 68,215.16 × 28,210.20
  4. Step 4: Simplify right side
    49,427.76x = 1,924,363,306.63
  5. Step 5: Solve for x
    x = 1,924,363,306.63/49,427.76
  6. Step 6: Final answer
    x = 38,932.84

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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.