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Finding the Fourth Proportional to 29,294.89, 43,950.87 and 10,574.50

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Solution

The fourth proportional to 29,294.89, 43,950.87 and 10,574.50 is: 15,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.89 : 43,950.87 = 10,574.50 : x
  2. Step 2: Convert to fraction form
    29,294.89/43,950.87 = 10,574.50/x
  3. Step 3: Cross multiply
    29,294.89x = 43,950.87 × 10,574.50
  4. Step 4: Simplify right side
    29,294.89x = 464,758,474.82
  5. Step 5: Solve for x
    x = 464,758,474.82/29,294.89
  6. Step 6: Final answer
    x = 15,864.83

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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.