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Finding the Fourth Proportional to 33,838.80, 46,686.24 and 19,688.64

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Solution

The fourth proportional to 33,838.80, 46,686.24 and 19,688.64 is: 27,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.80 : 46,686.24 = 19,688.64 : x
  2. Step 2: Convert to fraction form
    33,838.80/46,686.24 = 19,688.64/x
  3. Step 3: Cross multiply
    33,838.80x = 46,686.24 × 19,688.64
  4. Step 4: Simplify right side
    33,838.80x = 919,188,572.31
  5. Step 5: Solve for x
    x = 919,188,572.31/33,838.80
  6. Step 6: Final answer
    x = 27,163.75

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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.