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Finding the Fourth Proportional to 38,106.57, 57,164.72 and 11,812.89

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Solution

The fourth proportional to 38,106.57, 57,164.72 and 11,812.89 is: 17,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.57 : 57,164.72 = 11,812.89 : x
  2. Step 2: Convert to fraction form
    38,106.57/57,164.72 = 11,812.89/x
  3. Step 3: Cross multiply
    38,106.57x = 57,164.72 × 11,812.89
  4. Step 4: Simplify right side
    38,106.57x = 675,280,490.18
  5. Step 5: Solve for x
    x = 675,280,490.18/38,106.57
  6. Step 6: Final answer
    x = 17,720.84

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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.