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Finding the Fourth Proportional to 31,360.74, 43,294.61 and 24,174.96

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Solution

The fourth proportional to 31,360.74, 43,294.61 and 24,174.96 is: 33,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360.74 : 43,294.61 = 24,174.96 : x
  2. Step 2: Convert to fraction form
    31,360.74/43,294.61 = 24,174.96/x
  3. Step 3: Cross multiply
    31,360.74x = 43,294.61 × 24,174.96
  4. Step 4: Simplify right side
    31,360.74x = 1,046,645,525.40
  5. Step 5: Solve for x
    x = 1,046,645,525.40/31,360.74
  6. Step 6: Final answer
    x = 33,374.39

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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.