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Finding the Fourth Proportional to 35,648.96, 49,213.28 and 27,673.28

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Solution

The fourth proportional to 35,648.96, 49,213.28 and 27,673.28 is: 38,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.96 : 49,213.28 = 27,673.28 : x
  2. Step 2: Convert to fraction form
    35,648.96/49,213.28 = 27,673.28/x
  3. Step 3: Cross multiply
    35,648.96x = 49,213.28 × 27,673.28
  4. Step 4: Simplify right side
    35,648.96x = 1,361,892,877.16
  5. Step 5: Solve for x
    x = 1,361,892,877.16/35,648.96
  6. Step 6: Final answer
    x = 38,202.88

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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.