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Finding the Fourth Proportional to 29,407.84, 40,578.96 and 18,083.20

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Solution

The fourth proportional to 29,407.84, 40,578.96 and 18,083.20 is: 24,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.84 : 40,578.96 = 18,083.20 : x
  2. Step 2: Convert to fraction form
    29,407.84/40,578.96 = 18,083.20/x
  3. Step 3: Cross multiply
    29,407.84x = 40,578.96 × 18,083.20
  4. Step 4: Simplify right side
    29,407.84x = 733,797,449.47
  5. Step 5: Solve for x
    x = 733,797,449.47/29,407.84
  6. Step 6: Final answer
    x = 24,952.44

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1.5x scale

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.