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Finding the Fourth Proportional to 65,822.71, 90,835.06 and 35,607.96

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Solution

The fourth proportional to 65,822.71, 90,835.06 and 35,607.96 is: 49,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.71 : 90,835.06 = 35,607.96 : x
  2. Step 2: Convert to fraction form
    65,822.71/90,835.06 = 35,607.96/x
  3. Step 3: Cross multiply
    65,822.71x = 90,835.06 × 35,607.96
  4. Step 4: Simplify right side
    65,822.71x = 3,234,450,728.90
  5. Step 5: Solve for x
    x = 3,234,450,728.90/65,822.71
  6. Step 6: Final answer
    x = 49,138.83

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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.