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Finding the Fourth Proportional to 31,281.84, 43,169.50 and 17,133.78

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Solution

The fourth proportional to 31,281.84, 43,169.50 and 17,133.78 is: 23,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.84 : 43,169.50 = 17,133.78 : x
  2. Step 2: Convert to fraction form
    31,281.84/43,169.50 = 17,133.78/x
  3. Step 3: Cross multiply
    31,281.84x = 43,169.50 × 17,133.78
  4. Step 4: Simplify right side
    31,281.84x = 739,656,715.71
  5. Step 5: Solve for x
    x = 739,656,715.71/31,281.84
  6. Step 6: Final answer
    x = 23,644.92

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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.