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Finding the Fourth Proportional to 96,993.76, 145,526.17 and 40,848

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Solution

The fourth proportional to 96,993.76, 145,526.17 and 40,848 is: 61,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993.76 : 145,526.17 = 40,848 : x
  2. Step 2: Convert to fraction form
    96,993.76/145,526.17 = 40,848/x
  3. Step 3: Cross multiply
    96,993.76x = 145,526.17 × 40,848
  4. Step 4: Simplify right side
    96,993.76x = 5,944,452,992.16
  5. Step 5: Solve for x
    x = 5,944,452,992.16/96,993.76
  6. Step 6: Final answer
    x = 61,286.96

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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.