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Finding the Fourth Proportional to 31,896.64, 44,021.64 and 23,926.24

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Solution

The fourth proportional to 31,896.64, 44,021.64 and 23,926.24 is: 33,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.64 : 44,021.64 = 23,926.24 : x
  2. Step 2: Convert to fraction form
    31,896.64/44,021.64 = 23,926.24/x
  3. Step 3: Cross multiply
    31,896.64x = 44,021.64 × 23,926.24
  4. Step 4: Simplify right side
    31,896.64x = 1,053,272,323.83
  5. Step 5: Solve for x
    x = 1,053,272,323.83/31,896.64
  6. Step 6: Final answer
    x = 33,021.42

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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.