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Finding the Fourth Proportional to 101,681.92, 152,485.21 and 35,103.97

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Solution

The fourth proportional to 101,681.92, 152,485.21 and 35,103.97 is: 52,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,681.92 : 152,485.21 = 35,103.97 : x
  2. Step 2: Convert to fraction form
    101,681.92/152,485.21 = 35,103.97/x
  3. Step 3: Cross multiply
    101,681.92x = 152,485.21 × 35,103.97
  4. Step 4: Simplify right side
    101,681.92x = 5,352,836,237.28
  5. Step 5: Solve for x
    x = 5,352,836,237.28/101,681.92
  6. Step 6: Final answer
    x = 52,642.95

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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.