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Finding the Fourth Proportional to 38,485.56, 53,098.02 and 22,570.68

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Solution

The fourth proportional to 38,485.56, 53,098.02 and 22,570.68 is: 31,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.56 : 53,098.02 = 22,570.68 : x
  2. Step 2: Convert to fraction form
    38,485.56/53,098.02 = 22,570.68/x
  3. Step 3: Cross multiply
    38,485.56x = 53,098.02 × 22,570.68
  4. Step 4: Simplify right side
    38,485.56x = 1,198,458,418.05
  5. Step 5: Solve for x
    x = 1,198,458,418.05/38,485.56
  6. Step 6: Final answer
    x = 31,140.47

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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.