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Finding the Fourth Proportional to 53,149.68, 79,721.28 and 21,984.12

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Solution

The fourth proportional to 53,149.68, 79,721.28 and 21,984.12 is: 32,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,149.68 : 79,721.28 = 21,984.12 : x
  2. Step 2: Convert to fraction form
    53,149.68/79,721.28 = 21,984.12/x
  3. Step 3: Cross multiply
    53,149.68x = 79,721.28 × 21,984.12
  4. Step 4: Simplify right side
    53,149.68x = 1,752,602,186.07
  5. Step 5: Solve for x
    x = 1,752,602,186.07/53,149.68
  6. Step 6: Final answer
    x = 32,974.84

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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.