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Finding the Fourth Proportional to 31,561.92, 47,364 and 13,093.92

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Solution

The fourth proportional to 31,561.92, 47,364 and 13,093.92 is: 19,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.92 : 47,364 = 13,093.92 : x
  2. Step 2: Convert to fraction form
    31,561.92/47,364 = 13,093.92/x
  3. Step 3: Cross multiply
    31,561.92x = 47,364 × 13,093.92
  4. Step 4: Simplify right side
    31,561.92x = 620,180,426.88
  5. Step 5: Solve for x
    x = 620,180,426.88/31,561.92
  6. Step 6: Final answer
    x = 19,649.64

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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.