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Finding the Fourth Proportional to 38,461.94, 57,695.01 and 12,164.72

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Solution

The fourth proportional to 38,461.94, 57,695.01 and 12,164.72 is: 18,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.94 : 57,695.01 = 12,164.72 : x
  2. Step 2: Convert to fraction form
    38,461.94/57,695.01 = 12,164.72/x
  3. Step 3: Cross multiply
    38,461.94x = 57,695.01 × 12,164.72
  4. Step 4: Simplify right side
    38,461.94x = 701,843,642.05
  5. Step 5: Solve for x
    x = 701,843,642.05/38,461.94
  6. Step 6: Final answer
    x = 18,247.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.