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Finding the Fourth Proportional to 65,591.63, 98,408.19 and 23,470.77

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Solution

The fourth proportional to 65,591.63, 98,408.19 and 23,470.77 is: 35,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591.63 : 98,408.19 = 23,470.77 : x
  2. Step 2: Convert to fraction form
    65,591.63/98,408.19 = 23,470.77/x
  3. Step 3: Cross multiply
    65,591.63x = 98,408.19 × 23,470.77
  4. Step 4: Simplify right side
    65,591.63x = 2,309,715,993.61
  5. Step 5: Solve for x
    x = 2,309,715,993.61/65,591.63
  6. Step 6: Final answer
    x = 35,213.58

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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.