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Finding the Fourth Proportional to 35,695.50, 49,260.87 and 19,778.46

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Solution

The fourth proportional to 35,695.50, 49,260.87 and 19,778.46 is: 27,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.50 : 49,260.87 = 19,778.46 : x
  2. Step 2: Convert to fraction form
    35,695.50/49,260.87 = 19,778.46/x
  3. Step 3: Cross multiply
    35,695.50x = 49,260.87 × 19,778.46
  4. Step 4: Simplify right side
    35,695.50x = 974,304,146.86
  5. Step 5: Solve for x
    x = 974,304,146.86/35,695.50
  6. Step 6: Final answer
    x = 27,294.87

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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.