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Finding the Fourth Proportional to 35,694.78, 49,244.64 and 22,945.80

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Solution

The fourth proportional to 35,694.78, 49,244.64 and 22,945.80 is: 31,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.78 : 49,244.64 = 22,945.80 : x
  2. Step 2: Convert to fraction form
    35,694.78/49,244.64 = 22,945.80/x
  3. Step 3: Cross multiply
    35,694.78x = 49,244.64 × 22,945.80
  4. Step 4: Simplify right side
    35,694.78x = 1,129,957,660.51
  5. Step 5: Solve for x
    x = 1,129,957,660.51/35,694.78
  6. Step 6: Final answer
    x = 31,656.10

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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.