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Finding the Fourth Proportional to 55,057.80, 75,991.88 and 36,196.68

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Solution

The fourth proportional to 55,057.80, 75,991.88 and 36,196.68 is: 49,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057.80 : 75,991.88 = 36,196.68 : x
  2. Step 2: Convert to fraction form
    55,057.80/75,991.88 = 36,196.68/x
  3. Step 3: Cross multiply
    55,057.80x = 75,991.88 × 36,196.68
  4. Step 4: Simplify right side
    55,057.80x = 2,750,653,762.96
  5. Step 5: Solve for x
    x = 2,750,653,762.96/55,057.80
  6. Step 6: Final answer
    x = 49,959.38

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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.