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Finding the Fourth Proportional to 52,833.84, 72,911.52 and 31,614

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Solution

The fourth proportional to 52,833.84, 72,911.52 and 31,614 is: 43,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,833.84 : 72,911.52 = 31,614 : x
  2. Step 2: Convert to fraction form
    52,833.84/72,911.52 = 31,614/x
  3. Step 3: Cross multiply
    52,833.84x = 72,911.52 × 31,614
  4. Step 4: Simplify right side
    52,833.84x = 2,305,024,793.28
  5. Step 5: Solve for x
    x = 2,305,024,793.28/52,833.84
  6. Step 6: Final answer
    x = 43,627.81

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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.