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Finding the Fourth Proportional to 41,783.26, 62,728.32 and 35,897.80

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Solution

The fourth proportional to 41,783.26, 62,728.32 and 35,897.80 is: 53,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.26 : 62,728.32 = 35,897.80 : x
  2. Step 2: Convert to fraction form
    41,783.26/62,728.32 = 35,897.80/x
  3. Step 3: Cross multiply
    41,783.26x = 62,728.32 × 35,897.80
  4. Step 4: Simplify right side
    41,783.26x = 2,251,808,685.70
  5. Step 5: Solve for x
    x = 2,251,808,685.70/41,783.26
  6. Step 6: Final answer
    x = 53,892.60

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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.