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Finding the Fourth Proportional to 29,772.96, 44,661.06 and 7,586.52

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Solution

The fourth proportional to 29,772.96, 44,661.06 and 7,586.52 is: 11,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.96 : 44,661.06 = 7,586.52 : x
  2. Step 2: Convert to fraction form
    29,772.96/44,661.06 = 7,586.52/x
  3. Step 3: Cross multiply
    29,772.96x = 44,661.06 × 7,586.52
  4. Step 4: Simplify right side
    29,772.96x = 338,822,024.91
  5. Step 5: Solve for x
    x = 338,822,024.91/29,772.96
  6. Step 6: Final answer
    x = 11,380.19

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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.