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Finding the Fourth Proportional to 32,954.40, 49,396.70 and 10,761.83

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Solution

The fourth proportional to 32,954.40, 49,396.70 and 10,761.83 is: 16,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.40 : 49,396.70 = 10,761.83 : x
  2. Step 2: Convert to fraction form
    32,954.40/49,396.70 = 10,761.83/x
  3. Step 3: Cross multiply
    32,954.40x = 49,396.70 × 10,761.83
  4. Step 4: Simplify right side
    32,954.40x = 531,598,587.17
  5. Step 5: Solve for x
    x = 531,598,587.17/32,954.40
  6. Step 6: Final answer
    x = 16,131.34

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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.