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Finding the Fourth Proportional to 57,446.49, 79,275.01 and 31,951.98

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Solution

The fourth proportional to 57,446.49, 79,275.01 and 31,951.98 is: 44,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446.49 : 79,275.01 = 31,951.98 : x
  2. Step 2: Convert to fraction form
    57,446.49/79,275.01 = 31,951.98/x
  3. Step 3: Cross multiply
    57,446.49x = 79,275.01 × 31,951.98
  4. Step 4: Simplify right side
    57,446.49x = 2,532,993,763.01
  5. Step 5: Solve for x
    x = 2,532,993,763.01/57,446.49
  6. Step 6: Final answer
    x = 44,093.10

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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.