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Finding the Fourth Proportional to 100,326.78, 150,488.64 and 24,426.03

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Solution

The fourth proportional to 100,326.78, 150,488.64 and 24,426.03 is: 36,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,326.78 : 150,488.64 = 24,426.03 : x
  2. Step 2: Convert to fraction form
    100,326.78/150,488.64 = 24,426.03/x
  3. Step 3: Cross multiply
    100,326.78x = 150,488.64 × 24,426.03
  4. Step 4: Simplify right side
    100,326.78x = 3,675,840,035.30
  5. Step 5: Solve for x
    x = 3,675,840,035.30/100,326.78
  6. Step 6: Final answer
    x = 36,638.67

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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.