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Finding the Fourth Proportional to 84,120.49, 126,162.91 and 31,533.85

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Solution

The fourth proportional to 84,120.49, 126,162.91 and 31,533.85 is: 47,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120.49 : 126,162.91 = 31,533.85 : x
  2. Step 2: Convert to fraction form
    84,120.49/126,162.91 = 31,533.85/x
  3. Step 3: Cross multiply
    84,120.49x = 126,162.91 × 31,533.85
  4. Step 4: Simplify right side
    84,120.49x = 3,978,402,279.50
  5. Step 5: Solve for x
    x = 3,978,402,279.50/84,120.49
  6. Step 6: Final answer
    x = 47,294.09

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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.