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Finding the Fourth Proportional to 29,727, 44,590.50 and 8,950.50

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Solution

The fourth proportional to 29,727, 44,590.50 and 8,950.50 is: 13,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727 : 44,590.50 = 8,950.50 : x
  2. Step 2: Convert to fraction form
    29,727/44,590.50 = 8,950.50/x
  3. Step 3: Cross multiply
    29,727x = 44,590.50 × 8,950.50
  4. Step 4: Simplify right side
    29,727x = 399,107,270.25
  5. Step 5: Solve for x
    x = 399,107,270.25/29,727
  6. Step 6: Final answer
    x = 13,425.75

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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.