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Finding the Fourth Proportional to 31,896.32, 44,032.01 and 21,293.01

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Solution

The fourth proportional to 31,896.32, 44,032.01 and 21,293.01 is: 29,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.32 : 44,032.01 = 21,293.01 : x
  2. Step 2: Convert to fraction form
    31,896.32/44,032.01 = 21,293.01/x
  3. Step 3: Cross multiply
    31,896.32x = 44,032.01 × 21,293.01
  4. Step 4: Simplify right side
    31,896.32x = 937,573,922.79
  5. Step 5: Solve for x
    x = 937,573,922.79/31,896.32
  6. Step 6: Final answer
    x = 29,394.43

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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.