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Finding the Fourth Proportional to 30,673.29, 42,328.94 and 17,244.57

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Solution

The fourth proportional to 30,673.29, 42,328.94 and 17,244.57 is: 23,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.29 : 42,328.94 = 17,244.57 : x
  2. Step 2: Convert to fraction form
    30,673.29/42,328.94 = 17,244.57/x
  3. Step 3: Cross multiply
    30,673.29x = 42,328.94 × 17,244.57
  4. Step 4: Simplify right side
    30,673.29x = 729,944,282.63
  5. Step 5: Solve for x
    x = 729,944,282.63/30,673.29
  6. Step 6: Final answer
    x = 23,797.39

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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.