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Finding the Fourth Proportional to 101,101.21, 151,448.81 and 50,347.32

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Solution

The fourth proportional to 101,101.21, 151,448.81 and 50,347.32 is: 75,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.21 : 151,448.81 = 50,347.32 : x
  2. Step 2: Convert to fraction form
    101,101.21/151,448.81 = 50,347.32/x
  3. Step 3: Cross multiply
    101,101.21x = 151,448.81 × 50,347.32
  4. Step 4: Simplify right side
    101,101.21x = 7,625,041,574.82
  5. Step 5: Solve for x
    x = 7,625,041,574.82/101,101.21
  6. Step 6: Final answer
    x = 75,419.88

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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.