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Finding the Fourth Proportional to 40,657.68, 61,106.81 and 33,682.37

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Solution

The fourth proportional to 40,657.68, 61,106.81 and 33,682.37 is: 50,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,657.68 : 61,106.81 = 33,682.37 : x
  2. Step 2: Convert to fraction form
    40,657.68/61,106.81 = 33,682.37/x
  3. Step 3: Cross multiply
    40,657.68x = 61,106.81 × 33,682.37
  4. Step 4: Simplify right side
    40,657.68x = 2,058,221,709.99
  5. Step 5: Solve for x
    x = 2,058,221,709.99/40,657.68
  6. Step 6: Final answer
    x = 50,623.20

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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.