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Finding the Fourth Proportional to 35,473.44, 53,218.80 and 10,849.44

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Solution

The fourth proportional to 35,473.44, 53,218.80 and 10,849.44 is: 16,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.44 : 53,218.80 = 10,849.44 : x
  2. Step 2: Convert to fraction form
    35,473.44/53,218.80 = 10,849.44/x
  3. Step 3: Cross multiply
    35,473.44x = 53,218.80 × 10,849.44
  4. Step 4: Simplify right side
    35,473.44x = 577,394,177.47
  5. Step 5: Solve for x
    x = 577,394,177.47/35,473.44
  6. Step 6: Final answer
    x = 16,276.80

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Why These Related Problems?

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