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Finding the Fourth Proportional to 33,006.61, 45,574.07 and 20,277.24

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Solution

The fourth proportional to 33,006.61, 45,574.07 and 20,277.24 is: 27,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.61 : 45,574.07 = 20,277.24 : x
  2. Step 2: Convert to fraction form
    33,006.61/45,574.07 = 20,277.24/x
  3. Step 3: Cross multiply
    33,006.61x = 45,574.07 × 20,277.24
  4. Step 4: Simplify right side
    33,006.61x = 924,116,355.17
  5. Step 5: Solve for x
    x = 924,116,355.17/33,006.61
  6. Step 6: Final answer
    x = 27,997.92

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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.