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Finding the Fourth Proportional to 40,216.50, 55,498.82 and 23,452.74

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Solution

The fourth proportional to 40,216.50, 55,498.82 and 23,452.74 is: 32,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.50 : 55,498.82 = 23,452.74 : x
  2. Step 2: Convert to fraction form
    40,216.50/55,498.82 = 23,452.74/x
  3. Step 3: Cross multiply
    40,216.50x = 55,498.82 × 23,452.74
  4. Step 4: Simplify right side
    40,216.50x = 1,301,599,278.50
  5. Step 5: Solve for x
    x = 1,301,599,278.50/40,216.50
  6. Step 6: Final answer
    x = 32,364.81

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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.