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Finding the Fourth Proportional to 33,303.12, 45,966 and 21,974.64

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Solution

The fourth proportional to 33,303.12, 45,966 and 21,974.64 is: 30,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303.12 : 45,966 = 21,974.64 : x
  2. Step 2: Convert to fraction form
    33,303.12/45,966 = 21,974.64/x
  3. Step 3: Cross multiply
    33,303.12x = 45,966 × 21,974.64
  4. Step 4: Simplify right side
    33,303.12x = 1,010,086,302.24
  5. Step 5: Solve for x
    x = 1,010,086,302.24/33,303.12
  6. Step 6: Final answer
    x = 30,330.08

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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.