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Finding the Fourth Proportional to 78,234.84, 117,351.05 and 31,486.50

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Solution

The fourth proportional to 78,234.84, 117,351.05 and 31,486.50 is: 47,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.84 : 117,351.05 = 31,486.50 : x
  2. Step 2: Convert to fraction form
    78,234.84/117,351.05 = 31,486.50/x
  3. Step 3: Cross multiply
    78,234.84x = 117,351.05 × 31,486.50
  4. Step 4: Simplify right side
    78,234.84x = 3,694,973,678.39
  5. Step 5: Solve for x
    x = 3,694,973,678.39/78,234.84
  6. Step 6: Final answer
    x = 47,229.26

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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.