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Finding the Fourth Proportional to 98,652.82, 147,980.59 and 32,093.30

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Solution

The fourth proportional to 98,652.82, 147,980.59 and 32,093.30 is: 48,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.82 : 147,980.59 = 32,093.30 : x
  2. Step 2: Convert to fraction form
    98,652.82/147,980.59 = 32,093.30/x
  3. Step 3: Cross multiply
    98,652.82x = 147,980.59 × 32,093.30
  4. Step 4: Simplify right side
    98,652.82x = 4,749,185,469.05
  5. Step 5: Solve for x
    x = 4,749,185,469.05/98,652.82
  6. Step 6: Final answer
    x = 48,140.39

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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.