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Finding the Fourth Proportional to 31,532.76, 43,515.09 and 17,386.38

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Solution

The fourth proportional to 31,532.76, 43,515.09 and 17,386.38 is: 23,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.76 : 43,515.09 = 17,386.38 : x
  2. Step 2: Convert to fraction form
    31,532.76/43,515.09 = 17,386.38/x
  3. Step 3: Cross multiply
    31,532.76x = 43,515.09 × 17,386.38
  4. Step 4: Simplify right side
    31,532.76x = 756,569,890.47
  5. Step 5: Solve for x
    x = 756,569,890.47/31,532.76
  6. Step 6: Final answer
    x = 23,993.14

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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.