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Finding the Fourth Proportional to 105,812.70, 158,735.13 and 34,711.74

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Solution

The fourth proportional to 105,812.70, 158,735.13 and 34,711.74 is: 52,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.70 : 158,735.13 = 34,711.74 : x
  2. Step 2: Convert to fraction form
    105,812.70/158,735.13 = 34,711.74/x
  3. Step 3: Cross multiply
    105,812.70x = 158,735.13 × 34,711.74
  4. Step 4: Simplify right side
    105,812.70x = 5,509,972,561.43
  5. Step 5: Solve for x
    x = 5,509,972,561.43/105,812.70
  6. Step 6: Final answer
    x = 52,072.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.