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Finding the Fourth Proportional to 41,775.04, 57,642.32 and 23,617.46

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Solution

The fourth proportional to 41,775.04, 57,642.32 and 23,617.46 is: 32,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775.04 : 57,642.32 = 23,617.46 : x
  2. Step 2: Convert to fraction form
    41,775.04/57,642.32 = 23,617.46/x
  3. Step 3: Cross multiply
    41,775.04x = 57,642.32 × 23,617.46
  4. Step 4: Simplify right side
    41,775.04x = 1,361,365,245.95
  5. Step 5: Solve for x
    x = 1,361,365,245.95/41,775.04
  6. Step 6: Final answer
    x = 32,588.01

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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.