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Finding the Fourth Proportional to 31,530.84, 43,514.52 and 17,385

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Solution

The fourth proportional to 31,530.84, 43,514.52 and 17,385 is: 23,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.84 : 43,514.52 = 17,385 : x
  2. Step 2: Convert to fraction form
    31,530.84/43,514.52 = 17,385/x
  3. Step 3: Cross multiply
    31,530.84x = 43,514.52 × 17,385
  4. Step 4: Simplify right side
    31,530.84x = 756,499,930.20
  5. Step 5: Solve for x
    x = 756,499,930.20/31,530.84
  6. Step 6: Final answer
    x = 23,992.38

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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.