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Finding the Fourth Proportional to 98,892.64, 148,372.08 and 32,335.84

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Solution

The fourth proportional to 98,892.64, 148,372.08 and 32,335.84 is: 48,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,892.64 : 148,372.08 = 32,335.84 : x
  2. Step 2: Convert to fraction form
    98,892.64/148,372.08 = 32,335.84/x
  3. Step 3: Cross multiply
    98,892.64x = 148,372.08 × 32,335.84
  4. Step 4: Simplify right side
    98,892.64x = 4,797,735,839.35
  5. Step 5: Solve for x
    x = 4,797,735,839.35/98,892.64
  6. Step 6: Final answer
    x = 48,514.59

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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.