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Finding the Fourth Proportional to 44,207, 66,311.11 and 24,524

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Solution

The fourth proportional to 44,207, 66,311.11 and 24,524 is: 36,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,207 : 66,311.11 = 24,524 : x
  2. Step 2: Convert to fraction form
    44,207/66,311.11 = 24,524/x
  3. Step 3: Cross multiply
    44,207x = 66,311.11 × 24,524
  4. Step 4: Simplify right side
    44,207x = 1,626,213,661.64
  5. Step 5: Solve for x
    x = 1,626,213,661.64/44,207
  6. Step 6: Final answer
    x = 36,786.34

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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.