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Finding the Fourth Proportional to 38,458.83, 53,097.21 and 29,489.09

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Solution

The fourth proportional to 38,458.83, 53,097.21 and 29,489.09 is: 40,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.83 : 53,097.21 = 29,489.09 : x
  2. Step 2: Convert to fraction form
    38,458.83/53,097.21 = 29,489.09/x
  3. Step 3: Cross multiply
    38,458.83x = 53,097.21 × 29,489.09
  4. Step 4: Simplify right side
    38,458.83x = 1,565,788,404.44
  5. Step 5: Solve for x
    x = 1,565,788,404.44/38,458.83
  6. Step 6: Final answer
    x = 40,713.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.