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Finding the Fourth Proportional to 41,109.88, 56,734.62 and 23,206.42

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Solution

The fourth proportional to 41,109.88, 56,734.62 and 23,206.42 is: 32,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109.88 : 56,734.62 = 23,206.42 : x
  2. Step 2: Convert to fraction form
    41,109.88/56,734.62 = 23,206.42/x
  3. Step 3: Cross multiply
    41,109.88x = 56,734.62 × 23,206.42
  4. Step 4: Simplify right side
    41,109.88x = 1,316,607,420.26
  5. Step 5: Solve for x
    x = 1,316,607,420.26/41,109.88
  6. Step 6: Final answer
    x = 32,026.54

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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.