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Finding the Fourth Proportional to 34,014.90, 46,922.74 and 23,109.14

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Solution

The fourth proportional to 34,014.90, 46,922.74 and 23,109.14 is: 31,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.90 : 46,922.74 = 23,109.14 : x
  2. Step 2: Convert to fraction form
    34,014.90/46,922.74 = 23,109.14/x
  3. Step 3: Cross multiply
    34,014.90x = 46,922.74 × 23,109.14
  4. Step 4: Simplify right side
    34,014.90x = 1,084,344,227.38
  5. Step 5: Solve for x
    x = 1,084,344,227.38/34,014.90
  6. Step 6: Final answer
    x = 31,878.51

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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.