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Finding the Fourth Proportional to 101,101.52, 151,662 and 30,968.48

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Solution

The fourth proportional to 101,101.52, 151,662 and 30,968.48 is: 46,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.52 : 151,662 = 30,968.48 : x
  2. Step 2: Convert to fraction form
    101,101.52/151,662 = 30,968.48/x
  3. Step 3: Cross multiply
    101,101.52x = 151,662 × 30,968.48
  4. Step 4: Simplify right side
    101,101.52x = 4,696,741,613.76
  5. Step 5: Solve for x
    x = 4,696,741,613.76/101,101.52
  6. Step 6: Final answer
    x = 46,455.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.