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Finding the Fourth Proportional to 66,233.16, 91,399.41 and 37,933.38

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Solution

The fourth proportional to 66,233.16, 91,399.41 and 37,933.38 is: 52,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233.16 : 91,399.41 = 37,933.38 : x
  2. Step 2: Convert to fraction form
    66,233.16/91,399.41 = 37,933.38/x
  3. Step 3: Cross multiply
    66,233.16x = 91,399.41 × 37,933.38
  4. Step 4: Simplify right side
    66,233.16x = 3,467,088,551.31
  5. Step 5: Solve for x
    x = 3,467,088,551.31/66,233.16
  6. Step 6: Final answer
    x = 52,346.72

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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.