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Finding the Fourth Proportional to 29,287.97, 43,950 and 11,515.50

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Solution

The fourth proportional to 29,287.97, 43,950 and 11,515.50 is: 17,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,287.97 : 43,950 = 11,515.50 : x
  2. Step 2: Convert to fraction form
    29,287.97/43,950 = 11,515.50/x
  3. Step 3: Cross multiply
    29,287.97x = 43,950 × 11,515.50
  4. Step 4: Simplify right side
    29,287.97x = 506,106,225
  5. Step 5: Solve for x
    x = 506,106,225/29,287.97
  6. Step 6: Final answer
    x = 17,280.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.