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Finding the Fourth Proportional to 31,250.34, 46,879.38 and 11,529

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Solution

The fourth proportional to 31,250.34, 46,879.38 and 11,529 is: 17,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250.34 : 46,879.38 = 11,529 : x
  2. Step 2: Convert to fraction form
    31,250.34/46,879.38 = 11,529/x
  3. Step 3: Cross multiply
    31,250.34x = 46,879.38 × 11,529
  4. Step 4: Simplify right side
    31,250.34x = 540,472,372.02
  5. Step 5: Solve for x
    x = 540,472,372.02/31,250.34
  6. Step 6: Final answer
    x = 17,294.93

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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.