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Finding the Fourth Proportional to 30,416.14, 41,669.41 and 29,279.01

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Solution

The fourth proportional to 30,416.14, 41,669.41 and 29,279.01 is: 40,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.14 : 41,669.41 = 29,279.01 : x
  2. Step 2: Convert to fraction form
    30,416.14/41,669.41 = 29,279.01/x
  3. Step 3: Cross multiply
    30,416.14x = 41,669.41 × 29,279.01
  4. Step 4: Simplify right side
    30,416.14x = 1,220,039,103.06
  5. Step 5: Solve for x
    x = 1,220,039,103.06/30,416.14
  6. Step 6: Final answer
    x = 40,111.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.