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Finding the Fourth Proportional to 35,740.50, 49,321.93 and 20,839.38

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Solution

The fourth proportional to 35,740.50, 49,321.93 and 20,839.38 is: 28,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.50 : 49,321.93 = 20,839.38 : x
  2. Step 2: Convert to fraction form
    35,740.50/49,321.93 = 20,839.38/x
  3. Step 3: Cross multiply
    35,740.50x = 49,321.93 × 20,839.38
  4. Step 4: Simplify right side
    35,740.50x = 1,027,838,441.60
  5. Step 5: Solve for x
    x = 1,027,838,441.60/35,740.50
  6. Step 6: Final answer
    x = 28,758.37

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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.