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Finding the Fourth Proportional to 33,141.80, 49,688.40 and 13,410.20

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Solution

The fourth proportional to 33,141.80, 49,688.40 and 13,410.20 is: 20,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.80 : 49,688.40 = 13,410.20 : x
  2. Step 2: Convert to fraction form
    33,141.80/49,688.40 = 13,410.20/x
  3. Step 3: Cross multiply
    33,141.80x = 49,688.40 × 13,410.20
  4. Step 4: Simplify right side
    33,141.80x = 666,331,381.68
  5. Step 5: Solve for x
    x = 666,331,381.68/33,141.80
  6. Step 6: Final answer
    x = 20,105.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.