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Finding the Fourth Proportional to 100,964.95, 151,465.44 and 33,501.03

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Solution

The fourth proportional to 100,964.95, 151,465.44 and 33,501.03 is: 50,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964.95 : 151,465.44 = 33,501.03 : x
  2. Step 2: Convert to fraction form
    100,964.95/151,465.44 = 33,501.03/x
  3. Step 3: Cross multiply
    100,964.95x = 151,465.44 × 33,501.03
  4. Step 4: Simplify right side
    100,964.95x = 5,074,248,249.40
  5. Step 5: Solve for x
    x = 5,074,248,249.40/100,964.95
  6. Step 6: Final answer
    x = 50,257.52

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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.