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Finding the Fourth Proportional to 75,749.70, 104,497.38 and 48,882

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Solution

The fourth proportional to 75,749.70, 104,497.38 and 48,882 is: 67,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,749.70 : 104,497.38 = 48,882 : x
  2. Step 2: Convert to fraction form
    75,749.70/104,497.38 = 48,882/x
  3. Step 3: Cross multiply
    75,749.70x = 104,497.38 × 48,882
  4. Step 4: Simplify right side
    75,749.70x = 5,108,040,929.16
  5. Step 5: Solve for x
    x = 5,108,040,929.16/75,749.70
  6. Step 6: Final answer
    x = 67,433.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.