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Finding the Fourth Proportional to 43,690.75, 65,395.16 and 22,601.75

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Solution

The fourth proportional to 43,690.75, 65,395.16 and 22,601.75 is: 33,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,690.75 : 65,395.16 = 22,601.75 : x
  2. Step 2: Convert to fraction form
    43,690.75/65,395.16 = 22,601.75/x
  3. Step 3: Cross multiply
    43,690.75x = 65,395.16 × 22,601.75
  4. Step 4: Simplify right side
    43,690.75x = 1,478,044,894.04
  5. Step 5: Solve for x
    x = 1,478,044,894.04/43,690.75
  6. Step 6: Final answer
    x = 33,829.70

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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.