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Finding the Fourth Proportional to 33,055.92, 45,585.72 and 21,735

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Solution

The fourth proportional to 33,055.92, 45,585.72 and 21,735 is: 29,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,055.92 : 45,585.72 = 21,735 : x
  2. Step 2: Convert to fraction form
    33,055.92/45,585.72 = 21,735/x
  3. Step 3: Cross multiply
    33,055.92x = 45,585.72 × 21,735
  4. Step 4: Simplify right side
    33,055.92x = 990,805,624.20
  5. Step 5: Solve for x
    x = 990,805,624.20/33,055.92
  6. Step 6: Final answer
    x = 29,973.62

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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.