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Finding the Fourth Proportional to 98,720.94, 148,081.30 and 32,160.97

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Solution

The fourth proportional to 98,720.94, 148,081.30 and 32,160.97 is: 48,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,720.94 : 148,081.30 = 32,160.97 : x
  2. Step 2: Convert to fraction form
    98,720.94/148,081.30 = 32,160.97/x
  3. Step 3: Cross multiply
    98,720.94x = 148,081.30 × 32,160.97
  4. Step 4: Simplify right side
    98,720.94x = 4,762,438,246.86
  5. Step 5: Solve for x
    x = 4,762,438,246.86/98,720.94
  6. Step 6: Final answer
    x = 48,241.42

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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.