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Finding the Fourth Proportional to 29,585.90, 40,824.03 and 17,649.26

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Solution

The fourth proportional to 29,585.90, 40,824.03 and 17,649.26 is: 24,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.90 : 40,824.03 = 17,649.26 : x
  2. Step 2: Convert to fraction form
    29,585.90/40,824.03 = 17,649.26/x
  3. Step 3: Cross multiply
    29,585.90x = 40,824.03 × 17,649.26
  4. Step 4: Simplify right side
    29,585.90x = 720,513,919.72
  5. Step 5: Solve for x
    x = 720,513,919.72/29,585.90
  6. Step 6: Final answer
    x = 24,353.29

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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.