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Finding the Fourth Proportional to 31,262.76, 43,141.05 and 17,833.53

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Solution

The fourth proportional to 31,262.76, 43,141.05 and 17,833.53 is: 24,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.76 : 43,141.05 = 17,833.53 : x
  2. Step 2: Convert to fraction form
    31,262.76/43,141.05 = 17,833.53/x
  3. Step 3: Cross multiply
    31,262.76x = 43,141.05 × 17,833.53
  4. Step 4: Simplify right side
    31,262.76x = 769,357,209.41
  5. Step 5: Solve for x
    x = 769,357,209.41/31,262.76
  6. Step 6: Final answer
    x = 24,609.38

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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.