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Finding the Fourth Proportional to 35,560.52, 49,074.14 and 19,644.02

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Solution

The fourth proportional to 35,560.52, 49,074.14 and 19,644.02 is: 27,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,560.52 : 49,074.14 = 19,644.02 : x
  2. Step 2: Convert to fraction form
    35,560.52/49,074.14 = 19,644.02/x
  3. Step 3: Cross multiply
    35,560.52x = 49,074.14 × 19,644.02
  4. Step 4: Simplify right side
    35,560.52x = 964,013,387.64
  5. Step 5: Solve for x
    x = 964,013,387.64/35,560.52
  6. Step 6: Final answer
    x = 27,109.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.