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Finding the Fourth Proportional to 66,657, 91,997.82 and 38,357.40

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Solution

The fourth proportional to 66,657, 91,997.82 and 38,357.40 is: 52,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,657 : 91,997.82 = 38,357.40 : x
  2. Step 2: Convert to fraction form
    66,657/91,997.82 = 38,357.40/x
  3. Step 3: Cross multiply
    66,657x = 91,997.82 × 38,357.40
  4. Step 4: Simplify right side
    66,657x = 3,528,797,180.87
  5. Step 5: Solve for x
    x = 3,528,797,180.87/66,657
  6. Step 6: Final answer
    x = 52,939.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.