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Finding the Fourth Proportional to 34,010.09, 46,810.04 and 29,950.34

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Solution

The fourth proportional to 34,010.09, 46,810.04 and 29,950.34 is: 41,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.09 : 46,810.04 = 29,950.34 : x
  2. Step 2: Convert to fraction form
    34,010.09/46,810.04 = 29,950.34/x
  3. Step 3: Cross multiply
    34,010.09x = 46,810.04 × 29,950.34
  4. Step 4: Simplify right side
    34,010.09x = 1,401,976,805.31
  5. Step 5: Solve for x
    x = 1,401,976,805.31/34,010.09
  6. Step 6: Final answer
    x = 41,222.38

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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.