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Finding the Fourth Proportional to 31,109.31, 46,655.34 and 8,614.59

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Solution

The fourth proportional to 31,109.31, 46,655.34 and 8,614.59 is: 12,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.31 : 46,655.34 = 8,614.59 : x
  2. Step 2: Convert to fraction form
    31,109.31/46,655.34 = 8,614.59/x
  3. Step 3: Cross multiply
    31,109.31x = 46,655.34 × 8,614.59
  4. Step 4: Simplify right side
    31,109.31x = 401,916,625.41
  5. Step 5: Solve for x
    x = 401,916,625.41/31,109.31
  6. Step 6: Final answer
    x = 12,919.50

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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.