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Finding the Fourth Proportional to 62,294.88, 85,978.08 and 37,146

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Solution

The fourth proportional to 62,294.88, 85,978.08 and 37,146 is: 51,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,294.88 : 85,978.08 = 37,146 : x
  2. Step 2: Convert to fraction form
    62,294.88/85,978.08 = 37,146/x
  3. Step 3: Cross multiply
    62,294.88x = 85,978.08 × 37,146
  4. Step 4: Simplify right side
    62,294.88x = 3,193,741,759.68
  5. Step 5: Solve for x
    x = 3,193,741,759.68/62,294.88
  6. Step 6: Final answer
    x = 51,268.13

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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.