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Finding the Fourth Proportional to 33,547.68, 50,278.08 and 13,803.36

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Solution

The fourth proportional to 33,547.68, 50,278.08 and 13,803.36 is: 20,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.68 : 50,278.08 = 13,803.36 : x
  2. Step 2: Convert to fraction form
    33,547.68/50,278.08 = 13,803.36/x
  3. Step 3: Cross multiply
    33,547.68x = 50,278.08 × 13,803.36
  4. Step 4: Simplify right side
    33,547.68x = 694,006,438.35
  5. Step 5: Solve for x
    x = 694,006,438.35/33,547.68
  6. Step 6: Final answer
    x = 20,687.17

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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.