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Finding the Fourth Proportional to 75,113.70, 103,694.49 and 46,834.98

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Solution

The fourth proportional to 75,113.70, 103,694.49 and 46,834.98 is: 64,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,113.70 : 103,694.49 = 46,834.98 : x
  2. Step 2: Convert to fraction form
    75,113.70/103,694.49 = 46,834.98/x
  3. Step 3: Cross multiply
    75,113.70x = 103,694.49 × 46,834.98
  4. Step 4: Simplify right side
    75,113.70x = 4,856,529,365.26
  5. Step 5: Solve for x
    x = 4,856,529,365.26/75,113.70
  6. Step 6: Final answer
    x = 64,655.71

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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.