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Finding the Fourth Proportional to 54,919.92, 75,762.36 and 36,991.92

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Solution

The fourth proportional to 54,919.92, 75,762.36 and 36,991.92 is: 51,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919.92 : 75,762.36 = 36,991.92 : x
  2. Step 2: Convert to fraction form
    54,919.92/75,762.36 = 36,991.92/x
  3. Step 3: Cross multiply
    54,919.92x = 75,762.36 × 36,991.92
  4. Step 4: Simplify right side
    54,919.92x = 2,802,595,160.13
  5. Step 5: Solve for x
    x = 2,802,595,160.13/54,919.92
  6. Step 6: Final answer
    x = 51,030.58

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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.