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Finding the Fourth Proportional to 58,912, 81,299.20 and 32,416

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Solution

The fourth proportional to 58,912, 81,299.20 and 32,416 is: 44,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,912 : 81,299.20 = 32,416 : x
  2. Step 2: Convert to fraction form
    58,912/81,299.20 = 32,416/x
  3. Step 3: Cross multiply
    58,912x = 81,299.20 × 32,416
  4. Step 4: Simplify right side
    58,912x = 2,635,394,867.20
  5. Step 5: Solve for x
    x = 2,635,394,867.20/58,912
  6. Step 6: Final answer
    x = 44,734.43

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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.