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Finding the Fourth Proportional to 52,304.38, 72,191.61 and 34,401.10

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Solution

The fourth proportional to 52,304.38, 72,191.61 and 34,401.10 is: 47,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304.38 : 72,191.61 = 34,401.10 : x
  2. Step 2: Convert to fraction form
    52,304.38/72,191.61 = 34,401.10/x
  3. Step 3: Cross multiply
    52,304.38x = 72,191.61 × 34,401.10
  4. Step 4: Simplify right side
    52,304.38x = 2,483,470,794.77
  5. Step 5: Solve for x
    x = 2,483,470,794.77/52,304.38
  6. Step 6: Final answer
    x = 47,481.12

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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.