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Finding the Fourth Proportional to 38,411.77, 57,617.64 and 12,118.57

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Solution

The fourth proportional to 38,411.77, 57,617.64 and 12,118.57 is: 18,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.77 : 57,617.64 = 12,118.57 : x
  2. Step 2: Convert to fraction form
    38,411.77/57,617.64 = 12,118.57/x
  3. Step 3: Cross multiply
    38,411.77x = 57,617.64 × 12,118.57
  4. Step 4: Simplify right side
    38,411.77x = 698,243,403.57
  5. Step 5: Solve for x
    x = 698,243,403.57/38,411.77
  6. Step 6: Final answer
    x = 18,177.85

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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.