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Finding the Fourth Proportional to 30,859.40, 42,585.76 and 16,711.96

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Solution

The fourth proportional to 30,859.40, 42,585.76 and 16,711.96 is: 23,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.40 : 42,585.76 = 16,711.96 : x
  2. Step 2: Convert to fraction form
    30,859.40/42,585.76 = 16,711.96/x
  3. Step 3: Cross multiply
    30,859.40x = 42,585.76 × 16,711.96
  4. Step 4: Simplify right side
    30,859.40x = 711,691,517.69
  5. Step 5: Solve for x
    x = 711,691,517.69/30,859.40
  6. Step 6: Final answer
    x = 23,062.39

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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.