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Finding the Fourth Proportional to 78,046.66, 107,704.38 and 42,236.68

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Solution

The fourth proportional to 78,046.66, 107,704.38 and 42,236.68 is: 58,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.66 : 107,704.38 = 42,236.68 : x
  2. Step 2: Convert to fraction form
    78,046.66/107,704.38 = 42,236.68/x
  3. Step 3: Cross multiply
    78,046.66x = 107,704.38 × 42,236.68
  4. Step 4: Simplify right side
    78,046.66x = 4,549,074,894.14
  5. Step 5: Solve for x
    x = 4,549,074,894.14/78,046.66
  6. Step 6: Final answer
    x = 58,286.61

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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.