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Finding the Fourth Proportional to 33,656.46, 46,437.75 and 20,238

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Solution

The fourth proportional to 33,656.46, 46,437.75 and 20,238 is: 27,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.46 : 46,437.75 = 20,238 : x
  2. Step 2: Convert to fraction form
    33,656.46/46,437.75 = 20,238/x
  3. Step 3: Cross multiply
    33,656.46x = 46,437.75 × 20,238
  4. Step 4: Simplify right side
    33,656.46x = 939,807,184.50
  5. Step 5: Solve for x
    x = 939,807,184.50/33,656.46
  6. Step 6: Final answer
    x = 27,923.53

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