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Finding the Fourth Proportional to 70,844.82, 106,194.33 and 31,420.50

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Solution

The fourth proportional to 70,844.82, 106,194.33 and 31,420.50 is: 47,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,844.82 : 106,194.33 = 31,420.50 : x
  2. Step 2: Convert to fraction form
    70,844.82/106,194.33 = 31,420.50/x
  3. Step 3: Cross multiply
    70,844.82x = 106,194.33 × 31,420.50
  4. Step 4: Simplify right side
    70,844.82x = 3,336,678,945.77
  5. Step 5: Solve for x
    x = 3,336,678,945.77/70,844.82
  6. Step 6: Final answer
    x = 47,098.42

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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.