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Finding the Fourth Proportional to 57,442.82, 79,269.70 and 31,949.11

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Solution

The fourth proportional to 57,442.82, 79,269.70 and 31,949.11 is: 44,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.82 : 79,269.70 = 31,949.11 : x
  2. Step 2: Convert to fraction form
    57,442.82/79,269.70 = 31,949.11/x
  3. Step 3: Cross multiply
    57,442.82x = 79,269.70 × 31,949.11
  4. Step 4: Simplify right side
    57,442.82x = 2,532,596,086.92
  5. Step 5: Solve for x
    x = 2,532,596,086.92/57,442.82
  6. Step 6: Final answer
    x = 44,089.00

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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.