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Finding the Fourth Proportional to 35,596, 49,122.56 and 21,449.44

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Solution

The fourth proportional to 35,596, 49,122.56 and 21,449.44 is: 29,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,596 : 49,122.56 = 21,449.44 : x
  2. Step 2: Convert to fraction form
    35,596/49,122.56 = 21,449.44/x
  3. Step 3: Cross multiply
    35,596x = 49,122.56 × 21,449.44
  4. Step 4: Simplify right side
    35,596x = 1,053,651,403.37
  5. Step 5: Solve for x
    x = 1,053,651,403.37/35,596
  6. Step 6: Final answer
    x = 29,600.28

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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.