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Finding the Fourth Proportional to 98,714.50, 148,087.14 and 32,138.92

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Solution

The fourth proportional to 98,714.50, 148,087.14 and 32,138.92 is: 48,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.50 : 148,087.14 = 32,138.92 : x
  2. Step 2: Convert to fraction form
    98,714.50/148,087.14 = 32,138.92/x
  3. Step 3: Cross multiply
    98,714.50x = 148,087.14 × 32,138.92
  4. Step 4: Simplify right side
    98,714.50x = 4,759,360,745.49
  5. Step 5: Solve for x
    x = 4,759,360,745.49/98,714.50
  6. Step 6: Final answer
    x = 48,213.39

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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.