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Finding the Fourth Proportional to 30,964.74, 42,732.18 and 18,218.76

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Solution

The fourth proportional to 30,964.74, 42,732.18 and 18,218.76 is: 25,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.74 : 42,732.18 = 18,218.76 : x
  2. Step 2: Convert to fraction form
    30,964.74/42,732.18 = 18,218.76/x
  3. Step 3: Cross multiply
    30,964.74x = 42,732.18 × 18,218.76
  4. Step 4: Simplify right side
    30,964.74x = 778,527,331.70
  5. Step 5: Solve for x
    x = 778,527,331.70/30,964.74
  6. Step 6: Final answer
    x = 25,142.38

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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.