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Finding the Fourth Proportional to 41,447.86, 57,198.10 and 22,585

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Solution

The fourth proportional to 41,447.86, 57,198.10 and 22,585 is: 31,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447.86 : 57,198.10 = 22,585 : x
  2. Step 2: Convert to fraction form
    41,447.86/57,198.10 = 22,585/x
  3. Step 3: Cross multiply
    41,447.86x = 57,198.10 × 22,585
  4. Step 4: Simplify right side
    41,447.86x = 1,291,819,088.50
  5. Step 5: Solve for x
    x = 1,291,819,088.50/41,447.86
  6. Step 6: Final answer
    x = 31,167.33

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