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Finding the Fourth Proportional to 41,314.29, 57,016.01 and 23,415.06

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Solution

The fourth proportional to 41,314.29, 57,016.01 and 23,415.06 is: 32,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.29 : 57,016.01 = 23,415.06 : x
  2. Step 2: Convert to fraction form
    41,314.29/57,016.01 = 23,415.06/x
  3. Step 3: Cross multiply
    41,314.29x = 57,016.01 × 23,415.06
  4. Step 4: Simplify right side
    41,314.29x = 1,335,033,295.11
  5. Step 5: Solve for x
    x = 1,335,033,295.11/41,314.29
  6. Step 6: Final answer
    x = 32,314.08

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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.