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Finding the Fourth Proportional to 30,861.40, 42,588.22 and 17,249.76

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Solution

The fourth proportional to 30,861.40, 42,588.22 and 17,249.76 is: 23,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.40 : 42,588.22 = 17,249.76 : x
  2. Step 2: Convert to fraction form
    30,861.40/42,588.22 = 17,249.76/x
  3. Step 3: Cross multiply
    30,861.40x = 42,588.22 × 17,249.76
  4. Step 4: Simplify right side
    30,861.40x = 734,636,538.79
  5. Step 5: Solve for x
    x = 734,636,538.79/30,861.40
  6. Step 6: Final answer
    x = 23,804.38

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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.