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Finding the Fourth Proportional to 38,797.60, 53,534.24 and 22,879.84

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Solution

The fourth proportional to 38,797.60, 53,534.24 and 22,879.84 is: 31,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,797.60 : 53,534.24 = 22,879.84 : x
  2. Step 2: Convert to fraction form
    38,797.60/53,534.24 = 22,879.84/x
  3. Step 3: Cross multiply
    38,797.60x = 53,534.24 × 22,879.84
  4. Step 4: Simplify right side
    38,797.60x = 1,224,854,845.72
  5. Step 5: Solve for x
    x = 1,224,854,845.72/38,797.60
  6. Step 6: Final answer
    x = 31,570.38

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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.