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Finding the Fourth Proportional to 75,296.70, 103,954.47 and 47,040.66

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Solution

The fourth proportional to 75,296.70, 103,954.47 and 47,040.66 is: 64,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.70 : 103,954.47 = 47,040.66 : x
  2. Step 2: Convert to fraction form
    75,296.70/103,954.47 = 47,040.66/x
  3. Step 3: Cross multiply
    75,296.70x = 103,954.47 × 47,040.66
  4. Step 4: Simplify right side
    75,296.70x = 4,890,086,878.75
  5. Step 5: Solve for x
    x = 4,890,086,878.75/75,296.70
  6. Step 6: Final answer
    x = 64,944.24

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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.