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Finding the Fourth Proportional to 32,891.70, 49,338 and 10,705.17

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Solution

The fourth proportional to 32,891.70, 49,338 and 10,705.17 is: 16,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.70 : 49,338 = 10,705.17 : x
  2. Step 2: Convert to fraction form
    32,891.70/49,338 = 10,705.17/x
  3. Step 3: Cross multiply
    32,891.70x = 49,338 × 10,705.17
  4. Step 4: Simplify right side
    32,891.70x = 528,171,677.46
  5. Step 5: Solve for x
    x = 528,171,677.46/32,891.70
  6. Step 6: Final answer
    x = 16,057.90

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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.