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Finding the Fourth Proportional to 29,380.25, 40,544.75 and 16,132.25

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Solution

The fourth proportional to 29,380.25, 40,544.75 and 16,132.25 is: 22,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.25 : 40,544.75 = 16,132.25 : x
  2. Step 2: Convert to fraction form
    29,380.25/40,544.75 = 16,132.25/x
  3. Step 3: Cross multiply
    29,380.25x = 40,544.75 × 16,132.25
  4. Step 4: Simplify right side
    29,380.25x = 654,078,043.19
  5. Step 5: Solve for x
    x = 654,078,043.19/29,380.25
  6. Step 6: Final answer
    x = 22,262.51

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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.