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Finding the Fourth Proportional to 35,758.62, 49,350 and 19,846.14

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Solution

The fourth proportional to 35,758.62, 49,350 and 19,846.14 is: 27,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.62 : 49,350 = 19,846.14 : x
  2. Step 2: Convert to fraction form
    35,758.62/49,350 = 19,846.14/x
  3. Step 3: Cross multiply
    35,758.62x = 49,350 × 19,846.14
  4. Step 4: Simplify right side
    35,758.62x = 979,407,009
  5. Step 5: Solve for x
    x = 979,407,009/35,758.62
  6. Step 6: Final answer
    x = 27,389.40

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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.