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Finding the Fourth Proportional to 38,093.61, 57,155.46 and 11,800.40

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Solution

The fourth proportional to 38,093.61, 57,155.46 and 11,800.40 is: 17,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,093.61 : 57,155.46 = 11,800.40 : x
  2. Step 2: Convert to fraction form
    38,093.61/57,155.46 = 11,800.40/x
  3. Step 3: Cross multiply
    38,093.61x = 57,155.46 × 11,800.40
  4. Step 4: Simplify right side
    38,093.61x = 674,457,231.18
  5. Step 5: Solve for x
    x = 674,457,231.18/38,093.61
  6. Step 6: Final answer
    x = 17,705.26

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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.