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Finding the Fourth Proportional to 57,902.40, 86,828.94 and 32,954.22

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Solution

The fourth proportional to 57,902.40, 86,828.94 and 32,954.22 is: 49,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.40 : 86,828.94 = 32,954.22 : x
  2. Step 2: Convert to fraction form
    57,902.40/86,828.94 = 32,954.22/x
  3. Step 3: Cross multiply
    57,902.40x = 86,828.94 × 32,954.22
  4. Step 4: Simplify right side
    57,902.40x = 2,861,379,991.13
  5. Step 5: Solve for x
    x = 2,861,379,991.13/57,902.40
  6. Step 6: Final answer
    x = 49,417.30

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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.