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Finding the Fourth Proportional to 29,871.93, 44,815.20 and 9,095.43

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Solution

The fourth proportional to 29,871.93, 44,815.20 and 9,095.43 is: 13,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.93 : 44,815.20 = 9,095.43 : x
  2. Step 2: Convert to fraction form
    29,871.93/44,815.20 = 9,095.43/x
  3. Step 3: Cross multiply
    29,871.93x = 44,815.20 × 9,095.43
  4. Step 4: Simplify right side
    29,871.93x = 407,613,514.54
  5. Step 5: Solve for x
    x = 407,613,514.54/29,871.93
  6. Step 6: Final answer
    x = 13,645.37

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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.