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Finding the Fourth Proportional to 58,857, 81,223.94 and 32,361

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Solution

The fourth proportional to 58,857, 81,223.94 and 32,361 is: 44,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,857 : 81,223.94 = 32,361 : x
  2. Step 2: Convert to fraction form
    58,857/81,223.94 = 32,361/x
  3. Step 3: Cross multiply
    58,857x = 81,223.94 × 32,361
  4. Step 4: Simplify right side
    58,857x = 2,628,487,922.34
  5. Step 5: Solve for x
    x = 2,628,487,922.34/58,857
  6. Step 6: Final answer
    x = 44,658.88

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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.