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Finding the Fourth Proportional to 39,927.50, 55,121.55 and 24,015.50

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Solution

The fourth proportional to 39,927.50, 55,121.55 and 24,015.50 is: 33,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927.50 : 55,121.55 = 24,015.50 : x
  2. Step 2: Convert to fraction form
    39,927.50/55,121.55 = 24,015.50/x
  3. Step 3: Cross multiply
    39,927.50x = 55,121.55 × 24,015.50
  4. Step 4: Simplify right side
    39,927.50x = 1,323,771,584.03
  5. Step 5: Solve for x
    x = 1,323,771,584.03/39,927.50
  6. Step 6: Final answer
    x = 33,154.38

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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.