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Finding the Fourth Proportional to 53,721.80, 80,582.69 and 20,434.17

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Solution

The fourth proportional to 53,721.80, 80,582.69 and 20,434.17 is: 30,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,721.80 : 80,582.69 = 20,434.17 : x
  2. Step 2: Convert to fraction form
    53,721.80/80,582.69 = 20,434.17/x
  3. Step 3: Cross multiply
    53,721.80x = 80,582.69 × 20,434.17
  4. Step 4: Simplify right side
    53,721.80x = 1,646,640,386.52
  5. Step 5: Solve for x
    x = 1,646,640,386.52/53,721.80
  6. Step 6: Final answer
    x = 30,651.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.