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Finding the Fourth Proportional to 46,625, 69,886.62 and 22,948.84

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Solution

The fourth proportional to 46,625, 69,886.62 and 22,948.84 is: 34,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,625 : 69,886.62 = 22,948.84 : x
  2. Step 2: Convert to fraction form
    46,625/69,886.62 = 22,948.84/x
  3. Step 3: Cross multiply
    46,625x = 69,886.62 × 22,948.84
  4. Step 4: Simplify right side
    46,625x = 1,603,816,860.52
  5. Step 5: Solve for x
    x = 1,603,816,860.52/46,625
  6. Step 6: Final answer
    x = 34,398.22

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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.