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Finding the Fourth Proportional to 29,049.96, 43,582.50 and 8,275.08

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Solution

The fourth proportional to 29,049.96, 43,582.50 and 8,275.08 is: 12,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.96 : 43,582.50 = 8,275.08 : x
  2. Step 2: Convert to fraction form
    29,049.96/43,582.50 = 8,275.08/x
  3. Step 3: Cross multiply
    29,049.96x = 43,582.50 × 8,275.08
  4. Step 4: Simplify right side
    29,049.96x = 360,648,674.10
  5. Step 5: Solve for x
    x = 360,648,674.10/29,049.96
  6. Step 6: Final answer
    x = 12,414.77

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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.