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Finding the Fourth Proportional to 78,117.62, 117,181.91 and 31,370.50

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Solution

The fourth proportional to 78,117.62, 117,181.91 and 31,370.50 is: 47,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.62 : 117,181.91 = 31,370.50 : x
  2. Step 2: Convert to fraction form
    78,117.62/117,181.91 = 31,370.50/x
  3. Step 3: Cross multiply
    78,117.62x = 117,181.91 × 31,370.50
  4. Step 4: Simplify right side
    78,117.62x = 3,676,055,107.66
  5. Step 5: Solve for x
    x = 3,676,055,107.66/78,117.62
  6. Step 6: Final answer
    x = 47,057.95

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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.