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Finding the Fourth Proportional to 65,164.53, 97,713.99 and 31,834.65

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Solution

The fourth proportional to 65,164.53, 97,713.99 and 31,834.65 is: 47,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.53 : 97,713.99 = 31,834.65 : x
  2. Step 2: Convert to fraction form
    65,164.53/97,713.99 = 31,834.65/x
  3. Step 3: Cross multiply
    65,164.53x = 97,713.99 × 31,834.65
  4. Step 4: Simplify right side
    65,164.53x = 3,110,690,671.75
  5. Step 5: Solve for x
    x = 3,110,690,671.75/65,164.53
  6. Step 6: Final answer
    x = 47,735.95

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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.