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Finding the Fourth Proportional to 30,858.57, 42,584.94 and 16,711.38

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Solution

The fourth proportional to 30,858.57, 42,584.94 and 16,711.38 is: 23,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.57 : 42,584.94 = 16,711.38 : x
  2. Step 2: Convert to fraction form
    30,858.57/42,584.94 = 16,711.38/x
  3. Step 3: Cross multiply
    30,858.57x = 42,584.94 × 16,711.38
  4. Step 4: Simplify right side
    30,858.57x = 711,653,114.62
  5. Step 5: Solve for x
    x = 711,653,114.62/30,858.57
  6. Step 6: Final answer
    x = 23,061.77

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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.