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Finding the Fourth Proportional to 110,348.94, 165,524.95 and 31,463.17

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Solution

The fourth proportional to 110,348.94, 165,524.95 and 31,463.17 is: 47,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,348.94 : 165,524.95 = 31,463.17 : x
  2. Step 2: Convert to fraction form
    110,348.94/165,524.95 = 31,463.17/x
  3. Step 3: Cross multiply
    110,348.94x = 165,524.95 × 31,463.17
  4. Step 4: Simplify right side
    110,348.94x = 5,207,939,887.33
  5. Step 5: Solve for x
    x = 5,207,939,887.33/110,348.94
  6. Step 6: Final answer
    x = 47,195.20

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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.