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Finding the Fourth Proportional to 46,294.44, 69,046.68 and 45,494.70

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Solution

The fourth proportional to 46,294.44, 69,046.68 and 45,494.70 is: 67,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294.44 : 69,046.68 = 45,494.70 : x
  2. Step 2: Convert to fraction form
    46,294.44/69,046.68 = 45,494.70/x
  3. Step 3: Cross multiply
    46,294.44x = 69,046.68 × 45,494.70
  4. Step 4: Simplify right side
    46,294.44x = 3,141,257,992.60
  5. Step 5: Solve for x
    x = 3,141,257,992.60/46,294.44
  6. Step 6: Final answer
    x = 67,853.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.