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Finding the Fourth Proportional to 33,204.80, 45,802.15 and 20,278.01

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Solution

The fourth proportional to 33,204.80, 45,802.15 and 20,278.01 is: 27,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.80 : 45,802.15 = 20,278.01 : x
  2. Step 2: Convert to fraction form
    33,204.80/45,802.15 = 20,278.01/x
  3. Step 3: Cross multiply
    33,204.80x = 45,802.15 × 20,278.01
  4. Step 4: Simplify right side
    33,204.80x = 928,776,519.53
  5. Step 5: Solve for x
    x = 928,776,519.53/33,204.80
  6. Step 6: Final answer
    x = 27,971.15

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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.