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Finding the Fourth Proportional to 101,270.16, 151,811.32 and 34,694.46

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Solution

The fourth proportional to 101,270.16, 151,811.32 and 34,694.46 is: 52,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270.16 : 151,811.32 = 34,694.46 : x
  2. Step 2: Convert to fraction form
    101,270.16/151,811.32 = 34,694.46/x
  3. Step 3: Cross multiply
    101,270.16x = 151,811.32 × 34,694.46
  4. Step 4: Simplify right side
    101,270.16x = 5,267,011,769.29
  5. Step 5: Solve for x
    x = 5,267,011,769.29/101,270.16
  6. Step 6: Final answer
    x = 52,009.51

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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.