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Finding the Fourth Proportional to 55,449.40, 83,217.78 and 25,852

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Solution

The fourth proportional to 55,449.40, 83,217.78 and 25,852 is: 38,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,449.40 : 83,217.78 = 25,852 : x
  2. Step 2: Convert to fraction form
    55,449.40/83,217.78 = 25,852/x
  3. Step 3: Cross multiply
    55,449.40x = 83,217.78 × 25,852
  4. Step 4: Simplify right side
    55,449.40x = 2,151,346,048.56
  5. Step 5: Solve for x
    x = 2,151,346,048.56/55,449.40
  6. Step 6: Final answer
    x = 38,798.36

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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.