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Finding the Fourth Proportional to 38,658.57, 53,352.09 and 21,662.61

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Solution

The fourth proportional to 38,658.57, 53,352.09 and 21,662.61 is: 29,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.57 : 53,352.09 = 21,662.61 : x
  2. Step 2: Convert to fraction form
    38,658.57/53,352.09 = 21,662.61/x
  3. Step 3: Cross multiply
    38,658.57x = 53,352.09 × 21,662.61
  4. Step 4: Simplify right side
    38,658.57x = 1,155,745,829.37
  5. Step 5: Solve for x
    x = 1,155,745,829.37/38,658.57
  6. Step 6: Final answer
    x = 29,896.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.