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Finding the Fourth Proportional to 31,400.06, 43,333.38 and 17,253

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Solution

The fourth proportional to 31,400.06, 43,333.38 and 17,253 is: 23,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.06 : 43,333.38 = 17,253 : x
  2. Step 2: Convert to fraction form
    31,400.06/43,333.38 = 17,253/x
  3. Step 3: Cross multiply
    31,400.06x = 43,333.38 × 17,253
  4. Step 4: Simplify right side
    31,400.06x = 747,630,805.14
  5. Step 5: Solve for x
    x = 747,630,805.14/31,400.06
  6. Step 6: Final answer
    x = 23,809.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.