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Finding the Fourth Proportional to 29,801.40, 41,098.50 and 20,255.64

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Solution

The fourth proportional to 29,801.40, 41,098.50 and 20,255.64 is: 27,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.40 : 41,098.50 = 20,255.64 : x
  2. Step 2: Convert to fraction form
    29,801.40/41,098.50 = 20,255.64/x
  3. Step 3: Cross multiply
    29,801.40x = 41,098.50 × 20,255.64
  4. Step 4: Simplify right side
    29,801.40x = 832,476,420.54
  5. Step 5: Solve for x
    x = 832,476,420.54/29,801.40
  6. Step 6: Final answer
    x = 27,934.14

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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.