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Finding the Fourth Proportional to 38,570.96, 53,222.28 and 22,660.56

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Solution

The fourth proportional to 38,570.96, 53,222.28 and 22,660.56 is: 31,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570.96 : 53,222.28 = 22,660.56 : x
  2. Step 2: Convert to fraction form
    38,570.96/53,222.28 = 22,660.56/x
  3. Step 3: Cross multiply
    38,570.96x = 53,222.28 × 22,660.56
  4. Step 4: Simplify right side
    38,570.96x = 1,206,046,669.28
  5. Step 5: Solve for x
    x = 1,206,046,669.28/38,570.96
  6. Step 6: Final answer
    x = 31,268.26

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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.