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Finding the Fourth Proportional to 31,145.42, 42,979.05 and 16,998.02

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Solution

The fourth proportional to 31,145.42, 42,979.05 and 16,998.02 is: 23,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.42 : 42,979.05 = 16,998.02 : x
  2. Step 2: Convert to fraction form
    31,145.42/42,979.05 = 16,998.02/x
  3. Step 3: Cross multiply
    31,145.42x = 42,979.05 × 16,998.02
  4. Step 4: Simplify right side
    31,145.42x = 730,558,751.48
  5. Step 5: Solve for x
    x = 730,558,751.48/31,145.42
  6. Step 6: Final answer
    x = 23,456.38

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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.