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Finding the Fourth Proportional to 36,238.84, 54,357.54 and 20,623

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Solution

The fourth proportional to 36,238.84, 54,357.54 and 20,623 is: 30,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238.84 : 54,357.54 = 20,623 : x
  2. Step 2: Convert to fraction form
    36,238.84/54,357.54 = 20,623/x
  3. Step 3: Cross multiply
    36,238.84x = 54,357.54 × 20,623
  4. Step 4: Simplify right side
    36,238.84x = 1,121,015,547.42
  5. Step 5: Solve for x
    x = 1,121,015,547.42/36,238.84
  6. Step 6: Final answer
    x = 30,934.09

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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.