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Finding the Fourth Proportional to 29,756.50, 44,634.76 and 11,288.50

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Solution

The fourth proportional to 29,756.50, 44,634.76 and 11,288.50 is: 16,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.50 : 44,634.76 = 11,288.50 : x
  2. Step 2: Convert to fraction form
    29,756.50/44,634.76 = 11,288.50/x
  3. Step 3: Cross multiply
    29,756.50x = 44,634.76 × 11,288.50
  4. Step 4: Simplify right side
    29,756.50x = 503,859,488.26
  5. Step 5: Solve for x
    x = 503,859,488.26/29,756.50
  6. Step 6: Final answer
    x = 16,932.75

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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.