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Finding the Fourth Proportional to 29,891.75, 41,254.58 and 19,312.16

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Solution

The fourth proportional to 29,891.75, 41,254.58 and 19,312.16 is: 26,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.75 : 41,254.58 = 19,312.16 : x
  2. Step 2: Convert to fraction form
    29,891.75/41,254.58 = 19,312.16/x
  3. Step 3: Cross multiply
    29,891.75x = 41,254.58 × 19,312.16
  4. Step 4: Simplify right side
    29,891.75x = 796,715,049.69
  5. Step 5: Solve for x
    x = 796,715,049.69/29,891.75
  6. Step 6: Final answer
    x = 26,653.34

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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.