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Finding the Fourth Proportional to 78,474, 108,294.12 and 43,146

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Solution

The fourth proportional to 78,474, 108,294.12 and 43,146 is: 59,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474 : 108,294.12 = 43,146 : x
  2. Step 2: Convert to fraction form
    78,474/108,294.12 = 43,146/x
  3. Step 3: Cross multiply
    78,474x = 108,294.12 × 43,146
  4. Step 4: Simplify right side
    78,474x = 4,672,458,101.52
  5. Step 5: Solve for x
    x = 4,672,458,101.52/78,474
  6. Step 6: Final answer
    x = 59,541.48

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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.