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Finding the Fourth Proportional to 35,881.87, 53,822.75 and 12,191.88

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Solution

The fourth proportional to 35,881.87, 53,822.75 and 12,191.88 is: 18,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.87 : 53,822.75 = 12,191.88 : x
  2. Step 2: Convert to fraction form
    35,881.87/53,822.75 = 12,191.88/x
  3. Step 3: Cross multiply
    35,881.87x = 53,822.75 × 12,191.88
  4. Step 4: Simplify right side
    35,881.87x = 656,200,344.23
  5. Step 5: Solve for x
    x = 656,200,344.23/35,881.87
  6. Step 6: Final answer
    x = 18,287.80

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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.