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Finding the Fourth Proportional to 38,576.64, 53,236.18 and 22,661.76

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Solution

The fourth proportional to 38,576.64, 53,236.18 and 22,661.76 is: 31,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.64 : 53,236.18 = 22,661.76 : x
  2. Step 2: Convert to fraction form
    38,576.64/53,236.18 = 22,661.76/x
  3. Step 3: Cross multiply
    38,576.64x = 53,236.18 × 22,661.76
  4. Step 4: Simplify right side
    38,576.64x = 1,206,425,534.48
  5. Step 5: Solve for x
    x = 1,206,425,534.48/38,576.64
  6. Step 6: Final answer
    x = 31,273.47

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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.