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Finding the Fourth Proportional to 44,399, 66,598.50 and 11,567

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Solution

The fourth proportional to 44,399, 66,598.50 and 11,567 is: 17,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,399 : 66,598.50 = 11,567 : x
  2. Step 2: Convert to fraction form
    44,399/66,598.50 = 11,567/x
  3. Step 3: Cross multiply
    44,399x = 66,598.50 × 11,567
  4. Step 4: Simplify right side
    44,399x = 770,344,849.50
  5. Step 5: Solve for x
    x = 770,344,849.50/44,399
  6. Step 6: Final answer
    x = 17,350.50

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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.