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Finding the Fourth Proportional to 94,381, 141,593.40 and 32,051.56

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Solution

The fourth proportional to 94,381, 141,593.40 and 32,051.56 is: 48,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,381 : 141,593.40 = 32,051.56 : x
  2. Step 2: Convert to fraction form
    94,381/141,593.40 = 32,051.56/x
  3. Step 3: Cross multiply
    94,381x = 141,593.40 × 32,051.56
  4. Step 4: Simplify right side
    94,381x = 4,538,289,355.70
  5. Step 5: Solve for x
    x = 4,538,289,355.70/94,381
  6. Step 6: Final answer
    x = 48,084.78

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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.