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Finding the Fourth Proportional to 78,384.40, 117,596.86 and 34,001

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Solution

The fourth proportional to 78,384.40, 117,596.86 and 34,001 is: 51,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.40 : 117,596.86 = 34,001 : x
  2. Step 2: Convert to fraction form
    78,384.40/117,596.86 = 34,001/x
  3. Step 3: Cross multiply
    78,384.40x = 117,596.86 × 34,001
  4. Step 4: Simplify right side
    78,384.40x = 3,998,410,836.86
  5. Step 5: Solve for x
    x = 3,998,410,836.86/78,384.40
  6. Step 6: Final answer
    x = 51,010.29

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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.