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Finding the Fourth Proportional to 29,920.92, 44,881.38 and 9,144.24

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Solution

The fourth proportional to 29,920.92, 44,881.38 and 9,144.24 is: 13,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.92 : 44,881.38 = 9,144.24 : x
  2. Step 2: Convert to fraction form
    29,920.92/44,881.38 = 9,144.24/x
  3. Step 3: Cross multiply
    29,920.92x = 44,881.38 × 9,144.24
  4. Step 4: Simplify right side
    29,920.92x = 410,406,110.25
  5. Step 5: Solve for x
    x = 410,406,110.25/29,920.92
  6. Step 6: Final answer
    x = 13,716.36

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1.5x scale

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.