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Finding the Fourth Proportional to 57,242.67, 78,977.01 and 33,040.53

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Solution

The fourth proportional to 57,242.67, 78,977.01 and 33,040.53 is: 45,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.67 : 78,977.01 = 33,040.53 : x
  2. Step 2: Convert to fraction form
    57,242.67/78,977.01 = 33,040.53/x
  3. Step 3: Cross multiply
    57,242.67x = 78,977.01 × 33,040.53
  4. Step 4: Simplify right side
    57,242.67x = 2,609,442,317.89
  5. Step 5: Solve for x
    x = 2,609,442,317.89/57,242.67
  6. Step 6: Final answer
    x = 45,585.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.