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Finding the Fourth Proportional to 31,346.72, 43,314.52 and 23,312.82

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Solution

The fourth proportional to 31,346.72, 43,314.52 and 23,312.82 is: 32,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346.72 : 43,314.52 = 23,312.82 : x
  2. Step 2: Convert to fraction form
    31,346.72/43,314.52 = 23,312.82/x
  3. Step 3: Cross multiply
    31,346.72x = 43,314.52 × 23,312.82
  4. Step 4: Simplify right side
    31,346.72x = 1,009,783,634.79
  5. Step 5: Solve for x
    x = 1,009,783,634.79/31,346.72
  6. Step 6: Final answer
    x = 32,213.38

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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.