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Finding the Fourth Proportional to 100,694.52, 150,935.70 and 34,071.48

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Solution

The fourth proportional to 100,694.52, 150,935.70 and 34,071.48 is: 51,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.52 : 150,935.70 = 34,071.48 : x
  2. Step 2: Convert to fraction form
    100,694.52/150,935.70 = 34,071.48/x
  3. Step 3: Cross multiply
    100,694.52x = 150,935.70 × 34,071.48
  4. Step 4: Simplify right side
    100,694.52x = 5,142,602,683.84
  5. Step 5: Solve for x
    x = 5,142,602,683.84/100,694.52
  6. Step 6: Final answer
    x = 51,071.33

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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.