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Finding the Fourth Proportional to 96,718.08, 145,076.76 and 30,162

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Solution

The fourth proportional to 96,718.08, 145,076.76 and 30,162 is: 45,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,718.08 : 145,076.76 = 30,162 : x
  2. Step 2: Convert to fraction form
    96,718.08/145,076.76 = 30,162/x
  3. Step 3: Cross multiply
    96,718.08x = 145,076.76 × 30,162
  4. Step 4: Simplify right side
    96,718.08x = 4,375,805,235.12
  5. Step 5: Solve for x
    x = 4,375,805,235.12/96,718.08
  6. Step 6: Final answer
    x = 45,242.89

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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.