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Finding the Fourth Proportional to 38,509.22, 53,143.09 and 22,593.94

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Solution

The fourth proportional to 38,509.22, 53,143.09 and 22,593.94 is: 31,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.22 : 53,143.09 = 22,593.94 : x
  2. Step 2: Convert to fraction form
    38,509.22/53,143.09 = 22,593.94/x
  3. Step 3: Cross multiply
    38,509.22x = 53,143.09 × 22,593.94
  4. Step 4: Simplify right side
    38,509.22x = 1,200,711,597.53
  5. Step 5: Solve for x
    x = 1,200,711,597.53/38,509.22
  6. Step 6: Final answer
    x = 31,179.85

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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.