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Finding the Fourth Proportional to 49,833.92, 74,752.92 and 23,204.72

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Solution

The fourth proportional to 49,833.92, 74,752.92 and 23,204.72 is: 34,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833.92 : 74,752.92 = 23,204.72 : x
  2. Step 2: Convert to fraction form
    49,833.92/74,752.92 = 23,204.72/x
  3. Step 3: Cross multiply
    49,833.92x = 74,752.92 × 23,204.72
  4. Step 4: Simplify right side
    49,833.92x = 1,734,620,577.78
  5. Step 5: Solve for x
    x = 1,734,620,577.78/49,833.92
  6. Step 6: Final answer
    x = 34,808.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.