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Finding the Fourth Proportional to 30,807.54, 42,514.27 and 16,660.38

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Solution

The fourth proportional to 30,807.54, 42,514.27 and 16,660.38 is: 22,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.54 : 42,514.27 = 16,660.38 : x
  2. Step 2: Convert to fraction form
    30,807.54/42,514.27 = 16,660.38/x
  3. Step 3: Cross multiply
    30,807.54x = 42,514.27 × 16,660.38
  4. Step 4: Simplify right side
    30,807.54x = 708,304,011.40
  5. Step 5: Solve for x
    x = 708,304,011.40/30,807.54
  6. Step 6: Final answer
    x = 22,991.26

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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.