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Finding the Fourth Proportional to 78,632.60, 117,997.50 and 31,885.88

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Solution

The fourth proportional to 78,632.60, 117,997.50 and 31,885.88 is: 47,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632.60 : 117,997.50 = 31,885.88 : x
  2. Step 2: Convert to fraction form
    78,632.60/117,997.50 = 31,885.88/x
  3. Step 3: Cross multiply
    78,632.60x = 117,997.50 × 31,885.88
  4. Step 4: Simplify right side
    78,632.60x = 3,762,454,125.30
  5. Step 5: Solve for x
    x = 3,762,454,125.30/78,632.60
  6. Step 6: Final answer
    x = 47,848.53

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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.