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Finding the Fourth Proportional to 100,595.68, 150,868.41 and 30,473.98

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Solution

The fourth proportional to 100,595.68, 150,868.41 and 30,473.98 is: 45,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595.68 : 150,868.41 = 30,473.98 : x
  2. Step 2: Convert to fraction form
    100,595.68/150,868.41 = 30,473.98/x
  3. Step 3: Cross multiply
    100,595.68x = 150,868.41 × 30,473.98
  4. Step 4: Simplify right side
    100,595.68x = 4,597,560,908.97
  5. Step 5: Solve for x
    x = 4,597,560,908.97/100,595.68
  6. Step 6: Final answer
    x = 45,703.36

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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.