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Finding the Fourth Proportional to 105,022.14, 157,531.05 and 34,902.14

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Solution

The fourth proportional to 105,022.14, 157,531.05 and 34,902.14 is: 52,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,022.14 : 157,531.05 = 34,902.14 : x
  2. Step 2: Convert to fraction form
    105,022.14/157,531.05 = 34,902.14/x
  3. Step 3: Cross multiply
    105,022.14x = 157,531.05 × 34,902.14
  4. Step 4: Simplify right side
    105,022.14x = 5,498,170,761.45
  5. Step 5: Solve for x
    x = 5,498,170,761.45/105,022.14
  6. Step 6: Final answer
    x = 52,352.49

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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.