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Finding the Fourth Proportional to 75,242.79, 103,844.84 and 49,423.64

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Solution

The fourth proportional to 75,242.79, 103,844.84 and 49,423.64 is: 68,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.79 : 103,844.84 = 49,423.64 : x
  2. Step 2: Convert to fraction form
    75,242.79/103,844.84 = 49,423.64/x
  3. Step 3: Cross multiply
    75,242.79x = 103,844.84 × 49,423.64
  4. Step 4: Simplify right side
    75,242.79x = 5,132,389,221.68
  5. Step 5: Solve for x
    x = 5,132,389,221.68/75,242.79
  6. Step 6: Final answer
    x = 68,211.04

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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.