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Finding the Fourth Proportional to 33,208.80, 45,807.18 and 19,770

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Solution

The fourth proportional to 33,208.80, 45,807.18 and 19,770 is: 27,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.80 : 45,807.18 = 19,770 : x
  2. Step 2: Convert to fraction form
    33,208.80/45,807.18 = 19,770/x
  3. Step 3: Cross multiply
    33,208.80x = 45,807.18 × 19,770
  4. Step 4: Simplify right side
    33,208.80x = 905,607,948.60
  5. Step 5: Solve for x
    x = 905,607,948.60/33,208.80
  6. Step 6: Final answer
    x = 27,270.12

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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.