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Finding the Fourth Proportional to 30,952.38, 42,715.32 and 17,523.36

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Solution

The fourth proportional to 30,952.38, 42,715.32 and 17,523.36 is: 24,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.38 : 42,715.32 = 17,523.36 : x
  2. Step 2: Convert to fraction form
    30,952.38/42,715.32 = 17,523.36/x
  3. Step 3: Cross multiply
    30,952.38x = 42,715.32 × 17,523.36
  4. Step 4: Simplify right side
    30,952.38x = 748,515,929.88
  5. Step 5: Solve for x
    x = 748,515,929.88/30,952.38
  6. Step 6: Final answer
    x = 24,182.82

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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.