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Finding the Fourth Proportional to 29,750.78, 44,626.24 and 7,565.94

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Solution

The fourth proportional to 29,750.78, 44,626.24 and 7,565.94 is: 11,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.78 : 44,626.24 = 7,565.94 : x
  2. Step 2: Convert to fraction form
    29,750.78/44,626.24 = 7,565.94/x
  3. Step 3: Cross multiply
    29,750.78x = 44,626.24 × 7,565.94
  4. Step 4: Simplify right side
    29,750.78x = 337,639,463.72
  5. Step 5: Solve for x
    x = 337,639,463.72/29,750.78
  6. Step 6: Final answer
    x = 11,348.93

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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.