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Finding the Fourth Proportional to 35,695.48, 49,260 and 19,780.96

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Solution

The fourth proportional to 35,695.48, 49,260 and 19,780.96 is: 27,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.48 : 49,260 = 19,780.96 : x
  2. Step 2: Convert to fraction form
    35,695.48/49,260 = 19,780.96/x
  3. Step 3: Cross multiply
    35,695.48x = 49,260 × 19,780.96
  4. Step 4: Simplify right side
    35,695.48x = 974,410,089.60
  5. Step 5: Solve for x
    x = 974,410,089.60/35,695.48
  6. Step 6: Final answer
    x = 27,297.86

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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.