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Finding the Fourth Proportional to 30,502.38, 42,093.63 and 17,074.92

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Solution

The fourth proportional to 30,502.38, 42,093.63 and 17,074.92 is: 23,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.38 : 42,093.63 = 17,074.92 : x
  2. Step 2: Convert to fraction form
    30,502.38/42,093.63 = 17,074.92/x
  3. Step 3: Cross multiply
    30,502.38x = 42,093.63 × 17,074.92
  4. Step 4: Simplify right side
    30,502.38x = 718,745,364.76
  5. Step 5: Solve for x
    x = 718,745,364.76/30,502.38
  6. Step 6: Final answer
    x = 23,563.58

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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.