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Finding the Fourth Proportional to 51,089.67, 70,505.42 and 31,963.32

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Solution

The fourth proportional to 51,089.67, 70,505.42 and 31,963.32 is: 44,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,089.67 : 70,505.42 = 31,963.32 : x
  2. Step 2: Convert to fraction form
    51,089.67/70,505.42 = 31,963.32/x
  3. Step 3: Cross multiply
    51,089.67x = 70,505.42 × 31,963.32
  4. Step 4: Simplify right side
    51,089.67x = 2,253,587,141.38
  5. Step 5: Solve for x
    x = 2,253,587,141.38/51,089.67
  6. Step 6: Final answer
    x = 44,110.43

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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.