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Finding the Fourth Proportional to 42,805.94, 64,121.87 and 34,936.50

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Solution

The fourth proportional to 42,805.94, 64,121.87 and 34,936.50 is: 52,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805.94 : 64,121.87 = 34,936.50 : x
  2. Step 2: Convert to fraction form
    42,805.94/64,121.87 = 34,936.50/x
  3. Step 3: Cross multiply
    42,805.94x = 64,121.87 × 34,936.50
  4. Step 4: Simplify right side
    42,805.94x = 2,240,193,711.26
  5. Step 5: Solve for x
    x = 2,240,193,711.26/42,805.94
  6. Step 6: Final answer
    x = 52,333.71

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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.