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Finding the Fourth Proportional to 78,398.08, 117,538.80 and 34,016.56

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Solution

The fourth proportional to 78,398.08, 117,538.80 and 34,016.56 is: 50,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398.08 : 117,538.80 = 34,016.56 : x
  2. Step 2: Convert to fraction form
    78,398.08/117,538.80 = 34,016.56/x
  3. Step 3: Cross multiply
    78,398.08x = 117,538.80 × 34,016.56
  4. Step 4: Simplify right side
    78,398.08x = 3,998,265,642.53
  5. Step 5: Solve for x
    x = 3,998,265,642.53/78,398.08
  6. Step 6: Final answer
    x = 50,999.54

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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.