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Finding the Fourth Proportional to 75,674, 104,380.08 and 47,330.48

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Solution

The fourth proportional to 75,674, 104,380.08 and 47,330.48 is: 65,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,674 : 104,380.08 = 47,330.48 : x
  2. Step 2: Convert to fraction form
    75,674/104,380.08 = 47,330.48/x
  3. Step 3: Cross multiply
    75,674x = 104,380.08 × 47,330.48
  4. Step 4: Simplify right side
    75,674x = 4,940,359,288.84
  5. Step 5: Solve for x
    x = 4,940,359,288.84/75,674
  6. Step 6: Final answer
    x = 65,284.76

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Why These Related Problems?

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