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Finding the Fourth Proportional to 38,471.86, 57,716.43 and 12,178.18

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Solution

The fourth proportional to 38,471.86, 57,716.43 and 12,178.18 is: 18,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.86 : 57,716.43 = 12,178.18 : x
  2. Step 2: Convert to fraction form
    38,471.86/57,716.43 = 12,178.18/x
  3. Step 3: Cross multiply
    38,471.86x = 57,716.43 × 12,178.18
  4. Step 4: Simplify right side
    38,471.86x = 702,881,073.50
  5. Step 5: Solve for x
    x = 702,881,073.50/38,471.86
  6. Step 6: Final answer
    x = 18,270.00

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Why These Related Problems?

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