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Finding the Fourth Proportional to 33,106, 45,686.28 and 21,928

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Solution

The fourth proportional to 33,106, 45,686.28 and 21,928 is: 30,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106 : 45,686.28 = 21,928 : x
  2. Step 2: Convert to fraction form
    33,106/45,686.28 = 21,928/x
  3. Step 3: Cross multiply
    33,106x = 45,686.28 × 21,928
  4. Step 4: Simplify right side
    33,106x = 1,001,808,747.84
  5. Step 5: Solve for x
    x = 1,001,808,747.84/33,106
  6. Step 6: Final answer
    x = 30,260.64

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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.