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Finding the Fourth Proportional to 31,771.70, 43,756.16 and 31,082.94

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Solution

The fourth proportional to 31,771.70, 43,756.16 and 31,082.94 is: 42,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.70 : 43,756.16 = 31,082.94 : x
  2. Step 2: Convert to fraction form
    31,771.70/43,756.16 = 31,082.94/x
  3. Step 3: Cross multiply
    31,771.70x = 43,756.16 × 31,082.94
  4. Step 4: Simplify right side
    31,771.70x = 1,360,070,095.91
  5. Step 5: Solve for x
    x = 1,360,070,095.91/31,771.70
  6. Step 6: Final answer
    x = 42,807.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.