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Finding the Fourth Proportional to 57,707.25, 86,576.22 and 24,428.72

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Solution

The fourth proportional to 57,707.25, 86,576.22 and 24,428.72 is: 36,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,707.25 : 86,576.22 = 24,428.72 : x
  2. Step 2: Convert to fraction form
    57,707.25/86,576.22 = 24,428.72/x
  3. Step 3: Cross multiply
    57,707.25x = 86,576.22 × 24,428.72
  4. Step 4: Simplify right side
    57,707.25x = 2,114,945,804.16
  5. Step 5: Solve for x
    x = 2,114,945,804.16/57,707.25
  6. Step 6: Final answer
    x = 36,649.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.