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Finding the Fourth Proportional to 35,694.66, 49,257.54 and 19,778.76

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Solution

The fourth proportional to 35,694.66, 49,257.54 and 19,778.76 is: 27,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.66 : 49,257.54 = 19,778.76 : x
  2. Step 2: Convert to fraction form
    35,694.66/49,257.54 = 19,778.76/x
  3. Step 3: Cross multiply
    35,694.66x = 49,257.54 × 19,778.76
  4. Step 4: Simplify right side
    35,694.66x = 974,253,061.85
  5. Step 5: Solve for x
    x = 974,253,061.85/35,694.66
  6. Step 6: Final answer
    x = 27,294.08

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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.