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Finding the Fourth Proportional to 29,758.36, 41,064.42 and 21,834.04

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Solution

The fourth proportional to 29,758.36, 41,064.42 and 21,834.04 is: 30,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.36 : 41,064.42 = 21,834.04 : x
  2. Step 2: Convert to fraction form
    29,758.36/41,064.42 = 21,834.04/x
  3. Step 3: Cross multiply
    29,758.36x = 41,064.42 × 21,834.04
  4. Step 4: Simplify right side
    29,758.36x = 896,602,188.86
  5. Step 5: Solve for x
    x = 896,602,188.86/29,758.36
  6. Step 6: Final answer
    x = 30,129.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.