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Finding the Fourth Proportional to 39,802.94, 54,928.50 and 22,806.84

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Solution

The fourth proportional to 39,802.94, 54,928.50 and 22,806.84 is: 31,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.94 : 54,928.50 = 22,806.84 : x
  2. Step 2: Convert to fraction form
    39,802.94/54,928.50 = 22,806.84/x
  3. Step 3: Cross multiply
    39,802.94x = 54,928.50 × 22,806.84
  4. Step 4: Simplify right side
    39,802.94x = 1,252,745,510.94
  5. Step 5: Solve for x
    x = 1,252,745,510.94/39,802.94
  6. Step 6: Final answer
    x = 31,473.70

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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.