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Finding the Fourth Proportional to 30,870.57, 42,601.50 and 16,723.38

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Solution

The fourth proportional to 30,870.57, 42,601.50 and 16,723.38 is: 23,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.57 : 42,601.50 = 16,723.38 : x
  2. Step 2: Convert to fraction form
    30,870.57/42,601.50 = 16,723.38/x
  3. Step 3: Cross multiply
    30,870.57x = 42,601.50 × 16,723.38
  4. Step 4: Simplify right side
    30,870.57x = 712,441,073.07
  5. Step 5: Solve for x
    x = 712,441,073.07/30,870.57
  6. Step 6: Final answer
    x = 23,078.33

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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.