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Finding the Fourth Proportional to 30,845.40, 46,267.97 and 7,471.91

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Solution

The fourth proportional to 30,845.40, 46,267.97 and 7,471.91 is: 11,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.40 : 46,267.97 = 7,471.91 : x
  2. Step 2: Convert to fraction form
    30,845.40/46,267.97 = 7,471.91/x
  3. Step 3: Cross multiply
    30,845.40x = 46,267.97 × 7,471.91
  4. Step 4: Simplify right side
    30,845.40x = 345,709,839.02
  5. Step 5: Solve for x
    x = 345,709,839.02/30,845.40
  6. Step 6: Final answer
    x = 11,207.82

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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.