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Finding the Fourth Proportional to 30,965.38, 42,733.23 and 17,536.34

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Solution

The fourth proportional to 30,965.38, 42,733.23 and 17,536.34 is: 24,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.38 : 42,733.23 = 17,536.34 : x
  2. Step 2: Convert to fraction form
    30,965.38/42,733.23 = 17,536.34/x
  3. Step 3: Cross multiply
    30,965.38x = 42,733.23 × 17,536.34
  4. Step 4: Simplify right side
    30,965.38x = 749,384,450.58
  5. Step 5: Solve for x
    x = 749,384,450.58/30,965.38
  6. Step 6: Final answer
    x = 24,200.72

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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.