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Finding the Fourth Proportional to 78,388.08, 117,523.80 and 34,006.56

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Solution

The fourth proportional to 78,388.08, 117,523.80 and 34,006.56 is: 50,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.08 : 117,523.80 = 34,006.56 : x
  2. Step 2: Convert to fraction form
    78,388.08/117,523.80 = 34,006.56/x
  3. Step 3: Cross multiply
    78,388.08x = 117,523.80 × 34,006.56
  4. Step 4: Simplify right side
    78,388.08x = 3,996,580,156.13
  5. Step 5: Solve for x
    x = 3,996,580,156.13/78,388.08
  6. Step 6: Final answer
    x = 50,984.54

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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.