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Finding the Fourth Proportional to 35,694.52, 49,258.35 and 19,778.80

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Solution

The fourth proportional to 35,694.52, 49,258.35 and 19,778.80 is: 27,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.52 : 49,258.35 = 19,778.80 : x
  2. Step 2: Convert to fraction form
    35,694.52/49,258.35 = 19,778.80/x
  3. Step 3: Cross multiply
    35,694.52x = 49,258.35 × 19,778.80
  4. Step 4: Simplify right side
    35,694.52x = 974,271,052.98
  5. Step 5: Solve for x
    x = 974,271,052.98/35,694.52
  6. Step 6: Final answer
    x = 27,294.70

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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.