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Finding the Fourth Proportional to 57,111.66, 78,849.81 and 36,702

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Solution

The fourth proportional to 57,111.66, 78,849.81 and 36,702 is: 50,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.66 : 78,849.81 = 36,702 : x
  2. Step 2: Convert to fraction form
    57,111.66/78,849.81 = 36,702/x
  3. Step 3: Cross multiply
    57,111.66x = 78,849.81 × 36,702
  4. Step 4: Simplify right side
    57,111.66x = 2,893,945,726.62
  5. Step 5: Solve for x
    x = 2,893,945,726.62/57,111.66
  6. Step 6: Final answer
    x = 50,671.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.