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Finding the Fourth Proportional to 44,625, 66,937.50 and 16,923

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Solution

The fourth proportional to 44,625, 66,937.50 and 16,923 is: 25,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,625 : 66,937.50 = 16,923 : x
  2. Step 2: Convert to fraction form
    44,625/66,937.50 = 16,923/x
  3. Step 3: Cross multiply
    44,625x = 66,937.50 × 16,923
  4. Step 4: Simplify right side
    44,625x = 1,132,783,312.50
  5. Step 5: Solve for x
    x = 1,132,783,312.50/44,625
  6. Step 6: Final answer
    x = 25,384.50

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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.