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Finding the Fourth Proportional to 35,944.44, 53,911.80 and 9,649.41

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Solution

The fourth proportional to 35,944.44, 53,911.80 and 9,649.41 is: 14,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,944.44 : 53,911.80 = 9,649.41 : x
  2. Step 2: Convert to fraction form
    35,944.44/53,911.80 = 9,649.41/x
  3. Step 3: Cross multiply
    35,944.44x = 53,911.80 × 9,649.41
  4. Step 4: Simplify right side
    35,944.44x = 520,217,062.04
  5. Step 5: Solve for x
    x = 520,217,062.04/35,944.44
  6. Step 6: Final answer
    x = 14,472.81

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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.