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Finding the Fourth Proportional to 105,253.38, 157,828.91 and 35,109

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Solution

The fourth proportional to 105,253.38, 157,828.91 and 35,109 is: 52,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,253.38 : 157,828.91 = 35,109 : x
  2. Step 2: Convert to fraction form
    105,253.38/157,828.91 = 35,109/x
  3. Step 3: Cross multiply
    105,253.38x = 157,828.91 × 35,109
  4. Step 4: Simplify right side
    105,253.38x = 5,541,215,025.65
  5. Step 5: Solve for x
    x = 5,541,215,025.65/105,253.38
  6. Step 6: Final answer
    x = 52,646.43

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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.