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Finding the Fourth Proportional to 41,097.96, 56,656.26 and 27,645.48

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Solution

The fourth proportional to 41,097.96, 56,656.26 and 27,645.48 is: 38,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.96 : 56,656.26 = 27,645.48 : x
  2. Step 2: Convert to fraction form
    41,097.96/56,656.26 = 27,645.48/x
  3. Step 3: Cross multiply
    41,097.96x = 56,656.26 × 27,645.48
  4. Step 4: Simplify right side
    41,097.96x = 1,566,289,502.70
  5. Step 5: Solve for x
    x = 1,566,289,502.70/41,097.96
  6. Step 6: Final answer
    x = 38,111.13

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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.