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Finding the Fourth Proportional to 98,408.54, 147,617.46 and 31,853.88

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Solution

The fourth proportional to 98,408.54, 147,617.46 and 31,853.88 is: 47,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408.54 : 147,617.46 = 31,853.88 : x
  2. Step 2: Convert to fraction form
    98,408.54/147,617.46 = 31,853.88/x
  3. Step 3: Cross multiply
    98,408.54x = 147,617.46 × 31,853.88
  4. Step 4: Simplify right side
    98,408.54x = 4,702,188,856.74
  5. Step 5: Solve for x
    x = 4,702,188,856.74/98,408.54
  6. Step 6: Final answer
    x = 47,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.