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Finding the Fourth Proportional to 78,593.56, 117,824.20 and 34,186.86

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Solution

The fourth proportional to 78,593.56, 117,824.20 and 34,186.86 is: 51,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.56 : 117,824.20 = 34,186.86 : x
  2. Step 2: Convert to fraction form
    78,593.56/117,824.20 = 34,186.86/x
  3. Step 3: Cross multiply
    78,593.56x = 117,824.20 × 34,186.86
  4. Step 4: Simplify right side
    78,593.56x = 4,028,039,430.01
  5. Step 5: Solve for x
    x = 4,028,039,430.01/78,593.56
  6. Step 6: Final answer
    x = 51,251.52

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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.