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Finding the Fourth Proportional to 31,092, 46,644.89 and 11,370.12

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Solution

The fourth proportional to 31,092, 46,644.89 and 11,370.12 is: 17,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092 : 46,644.89 = 11,370.12 : x
  2. Step 2: Convert to fraction form
    31,092/46,644.89 = 11,370.12/x
  3. Step 3: Cross multiply
    31,092x = 46,644.89 × 11,370.12
  4. Step 4: Simplify right side
    31,092x = 530,357,939.84
  5. Step 5: Solve for x
    x = 530,357,939.84/31,092
  6. Step 6: Final answer
    x = 17,057.70

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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.