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Finding the Fourth Proportional to 49,434.52, 68,220.80 and 28,215.76

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Solution

The fourth proportional to 49,434.52, 68,220.80 and 28,215.76 is: 38,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434.52 : 68,220.80 = 28,215.76 : x
  2. Step 2: Convert to fraction form
    49,434.52/68,220.80 = 28,215.76/x
  3. Step 3: Cross multiply
    49,434.52x = 68,220.80 × 28,215.76
  4. Step 4: Simplify right side
    49,434.52x = 1,924,901,719.81
  5. Step 5: Solve for x
    x = 1,924,901,719.81/49,434.52
  6. Step 6: Final answer
    x = 38,938.41

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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.