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Finding the Fourth Proportional to 31,737.45, 43,709.10 and 31,048.55

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Solution

The fourth proportional to 31,737.45, 43,709.10 and 31,048.55 is: 42,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.45 : 43,709.10 = 31,048.55 : x
  2. Step 2: Convert to fraction form
    31,737.45/43,709.10 = 31,048.55/x
  3. Step 3: Cross multiply
    31,737.45x = 43,709.10 × 31,048.55
  4. Step 4: Simplify right side
    31,737.45x = 1,357,103,958.26
  5. Step 5: Solve for x
    x = 1,357,103,958.26/31,737.45
  6. Step 6: Final answer
    x = 42,760.33

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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.