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Finding the Fourth Proportional to 101,065.76, 151,599 and 30,944.78

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Solution

The fourth proportional to 101,065.76, 151,599 and 30,944.78 is: 46,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065.76 : 151,599 = 30,944.78 : x
  2. Step 2: Convert to fraction form
    101,065.76/151,599 = 30,944.78/x
  3. Step 3: Cross multiply
    101,065.76x = 151,599 × 30,944.78
  4. Step 4: Simplify right side
    101,065.76x = 4,691,197,703.22
  5. Step 5: Solve for x
    x = 4,691,197,703.22/101,065.76
  6. Step 6: Final answer
    x = 46,417.28

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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.