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Finding the Fourth Proportional to 78,753.86, 117,997.14 and 47,523.50

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Solution

The fourth proportional to 78,753.86, 117,997.14 and 47,523.50 is: 71,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,753.86 : 117,997.14 = 47,523.50 : x
  2. Step 2: Convert to fraction form
    78,753.86/117,997.14 = 47,523.50/x
  3. Step 3: Cross multiply
    78,753.86x = 117,997.14 × 47,523.50
  4. Step 4: Simplify right side
    78,753.86x = 5,607,637,082.79
  5. Step 5: Solve for x
    x = 5,607,637,082.79/78,753.86
  6. Step 6: Final answer
    x = 71,204.60

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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.