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Finding the Fourth Proportional to 29,315.68, 43,981.72 and 9,608.07

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Solution

The fourth proportional to 29,315.68, 43,981.72 and 9,608.07 is: 14,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,315.68 : 43,981.72 = 9,608.07 : x
  2. Step 2: Convert to fraction form
    29,315.68/43,981.72 = 9,608.07/x
  3. Step 3: Cross multiply
    29,315.68x = 43,981.72 × 9,608.07
  4. Step 4: Simplify right side
    29,315.68x = 422,579,420.46
  5. Step 5: Solve for x
    x = 422,579,420.46/29,315.68
  6. Step 6: Final answer
    x = 14,414.79

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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.