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Finding the Fourth Proportional to 43,061, 64,591.77 and 11,896.52

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Solution

The fourth proportional to 43,061, 64,591.77 and 11,896.52 is: 17,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,061 : 64,591.77 = 11,896.52 : x
  2. Step 2: Convert to fraction form
    43,061/64,591.77 = 11,896.52/x
  3. Step 3: Cross multiply
    43,061x = 64,591.77 × 11,896.52
  4. Step 4: Simplify right side
    43,061x = 768,417,283.64
  5. Step 5: Solve for x
    x = 768,417,283.64/43,061
  6. Step 6: Final answer
    x = 17,844.85

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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.