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Finding the Fourth Proportional to 98,031.20, 147,046.77 and 27,910.50

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Solution

The fourth proportional to 98,031.20, 147,046.77 and 27,910.50 is: 41,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,031.20 : 147,046.77 = 27,910.50 : x
  2. Step 2: Convert to fraction form
    98,031.20/147,046.77 = 27,910.50/x
  3. Step 3: Cross multiply
    98,031.20x = 147,046.77 × 27,910.50
  4. Step 4: Simplify right side
    98,031.20x = 4,104,148,874.09
  5. Step 5: Solve for x
    x = 4,104,148,874.09/98,031.20
  6. Step 6: Final answer
    x = 41,865.74

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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.