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Finding the Fourth Proportional to 39,705, 54,802.80 and 22,947.72

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Solution

The fourth proportional to 39,705, 54,802.80 and 22,947.72 is: 31,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,705 : 54,802.80 = 22,947.72 : x
  2. Step 2: Convert to fraction form
    39,705/54,802.80 = 22,947.72/x
  3. Step 3: Cross multiply
    39,705x = 54,802.80 × 22,947.72
  4. Step 4: Simplify right side
    39,705x = 1,257,599,309.62
  5. Step 5: Solve for x
    x = 1,257,599,309.62/39,705
  6. Step 6: Final answer
    x = 31,673.58

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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.