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Finding the Fourth Proportional to 66,538, 91,822.44 and 36,730

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Solution

The fourth proportional to 66,538, 91,822.44 and 36,730 is: 50,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 91,822.44 = 36,730 : x
  2. Step 2: Convert to fraction form
    66,538/91,822.44 = 36,730/x
  3. Step 3: Cross multiply
    66,538x = 91,822.44 × 36,730
  4. Step 4: Simplify right side
    66,538x = 3,372,638,221.20
  5. Step 5: Solve for x
    x = 3,372,638,221.20/66,538
  6. Step 6: Final answer
    x = 50,687.40

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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.