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Finding the Fourth Proportional to 52,131.77, 78,322.29 and 33,448.51

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Solution

The fourth proportional to 52,131.77, 78,322.29 and 33,448.51 is: 50,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131.77 : 78,322.29 = 33,448.51 : x
  2. Step 2: Convert to fraction form
    52,131.77/78,322.29 = 33,448.51/x
  3. Step 3: Cross multiply
    52,131.77x = 78,322.29 × 33,448.51
  4. Step 4: Simplify right side
    52,131.77x = 2,619,763,900.29
  5. Step 5: Solve for x
    x = 2,619,763,900.29/52,131.77
  6. Step 6: Final answer
    x = 50,252.73

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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.