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Finding the Fourth Proportional to 65,334.80, 98,051.52 and 47,849.96

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Solution

The fourth proportional to 65,334.80, 98,051.52 and 47,849.96 is: 71,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334.80 : 98,051.52 = 47,849.96 : x
  2. Step 2: Convert to fraction form
    65,334.80/98,051.52 = 47,849.96/x
  3. Step 3: Cross multiply
    65,334.80x = 98,051.52 × 47,849.96
  4. Step 4: Simplify right side
    65,334.80x = 4,691,761,309.94
  5. Step 5: Solve for x
    x = 4,691,761,309.94/65,334.80
  6. Step 6: Final answer
    x = 71,811.06

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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.