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Finding the Fourth Proportional to 36,065.70, 54,098.55 and 31,205.70

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Solution

The fourth proportional to 36,065.70, 54,098.55 and 31,205.70 is: 46,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.70 : 54,098.55 = 31,205.70 : x
  2. Step 2: Convert to fraction form
    36,065.70/54,098.55 = 31,205.70/x
  3. Step 3: Cross multiply
    36,065.70x = 54,098.55 × 31,205.70
  4. Step 4: Simplify right side
    36,065.70x = 1,688,183,121.74
  5. Step 5: Solve for x
    x = 1,688,183,121.74/36,065.70
  6. Step 6: Final answer
    x = 46,808.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.