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Finding the Fourth Proportional to 35,648.40, 49,195.22 and 19,734.32

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Solution

The fourth proportional to 35,648.40, 49,195.22 and 19,734.32 is: 27,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.40 : 49,195.22 = 19,734.32 : x
  2. Step 2: Convert to fraction form
    35,648.40/49,195.22 = 19,734.32/x
  3. Step 3: Cross multiply
    35,648.40x = 49,195.22 × 19,734.32
  4. Step 4: Simplify right side
    35,648.40x = 970,834,213.95
  5. Step 5: Solve for x
    x = 970,834,213.95/35,648.40
  6. Step 6: Final answer
    x = 27,233.60

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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.