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Finding the Fourth Proportional to 98,650.32, 147,976.84 and 32,090.79

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Solution

The fourth proportional to 98,650.32, 147,976.84 and 32,090.79 is: 48,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,650.32 : 147,976.84 = 32,090.79 : x
  2. Step 2: Convert to fraction form
    98,650.32/147,976.84 = 32,090.79/x
  3. Step 3: Cross multiply
    98,650.32x = 147,976.84 × 32,090.79
  4. Step 4: Simplify right side
    98,650.32x = 4,748,694,292.33
  5. Step 5: Solve for x
    x = 4,748,694,292.33/98,650.32
  6. Step 6: Final answer
    x = 48,136.64

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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.