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Finding the Fourth Proportional to 29,009.40, 43,514.10 and 8,233.08

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Solution

The fourth proportional to 29,009.40, 43,514.10 and 8,233.08 is: 12,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.40 : 43,514.10 = 8,233.08 : x
  2. Step 2: Convert to fraction form
    29,009.40/43,514.10 = 8,233.08/x
  3. Step 3: Cross multiply
    29,009.40x = 43,514.10 × 8,233.08
  4. Step 4: Simplify right side
    29,009.40x = 358,255,066.43
  5. Step 5: Solve for x
    x = 358,255,066.43/29,009.40
  6. Step 6: Final answer
    x = 12,349.62

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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.