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Finding the Fourth Proportional to 76,115.39, 105,039.44 and 42,126.22

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Solution

The fourth proportional to 76,115.39, 105,039.44 and 42,126.22 is: 58,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.39 : 105,039.44 = 42,126.22 : x
  2. Step 2: Convert to fraction form
    76,115.39/105,039.44 = 42,126.22/x
  3. Step 3: Cross multiply
    76,115.39x = 105,039.44 × 42,126.22
  4. Step 4: Simplify right side
    76,115.39x = 4,424,914,084.89
  5. Step 5: Solve for x
    x = 4,424,914,084.89/76,115.39
  6. Step 6: Final answer
    x = 58,134.29

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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.