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Finding the Fourth Proportional to 39,713.72, 54,802.80 and 21,811.16

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Solution

The fourth proportional to 39,713.72, 54,802.80 and 21,811.16 is: 30,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,713.72 : 54,802.80 = 21,811.16 : x
  2. Step 2: Convert to fraction form
    39,713.72/54,802.80 = 21,811.16/x
  3. Step 3: Cross multiply
    39,713.72x = 54,802.80 × 21,811.16
  4. Step 4: Simplify right side
    39,713.72x = 1,195,312,639.25
  5. Step 5: Solve for x
    x = 1,195,312,639.25/39,713.72
  6. Step 6: Final answer
    x = 30,098.23

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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.