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Finding the Fourth Proportional to 65,720.20, 98,645.10 and 32,477.80

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Solution

The fourth proportional to 65,720.20, 98,645.10 and 32,477.80 is: 48,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720.20 : 98,645.10 = 32,477.80 : x
  2. Step 2: Convert to fraction form
    65,720.20/98,645.10 = 32,477.80/x
  3. Step 3: Cross multiply
    65,720.20x = 98,645.10 × 32,477.80
  4. Step 4: Simplify right side
    65,720.20x = 3,203,775,828.78
  5. Step 5: Solve for x
    x = 3,203,775,828.78/65,720.20
  6. Step 6: Final answer
    x = 48,748.72

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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.