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Finding the Fourth Proportional to 101,093.52, 151,650 and 30,960.48

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Solution

The fourth proportional to 101,093.52, 151,650 and 30,960.48 is: 46,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,093.52 : 151,650 = 30,960.48 : x
  2. Step 2: Convert to fraction form
    101,093.52/151,650 = 30,960.48/x
  3. Step 3: Cross multiply
    101,093.52x = 151,650 × 30,960.48
  4. Step 4: Simplify right side
    101,093.52x = 4,695,156,792
  5. Step 5: Solve for x
    x = 4,695,156,792/101,093.52
  6. Step 6: Final answer
    x = 46,443.70

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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.