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Finding the Fourth Proportional to 43,435, 65,152.78 and 12,270.52

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Solution

The fourth proportional to 43,435, 65,152.78 and 12,270.52 is: 18,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,435 : 65,152.78 = 12,270.52 : x
  2. Step 2: Convert to fraction form
    43,435/65,152.78 = 12,270.52/x
  3. Step 3: Cross multiply
    43,435x = 65,152.78 × 12,270.52
  4. Step 4: Simplify right side
    43,435x = 799,458,490.05
  5. Step 5: Solve for x
    x = 799,458,490.05/43,435
  6. Step 6: Final answer
    x = 18,405.86

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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.