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Finding the Fourth Proportional to 40,740.25, 61,137.49 and 16,744.24

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Solution

The fourth proportional to 40,740.25, 61,137.49 and 16,744.24 is: 25,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,740.25 : 61,137.49 = 16,744.24 : x
  2. Step 2: Convert to fraction form
    40,740.25/61,137.49 = 16,744.24/x
  3. Step 3: Cross multiply
    40,740.25x = 61,137.49 × 16,744.24
  4. Step 4: Simplify right side
    40,740.25x = 1,023,700,499.87
  5. Step 5: Solve for x
    x = 1,023,700,499.87/40,740.25
  6. Step 6: Final answer
    x = 25,127.50

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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.