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Finding the Fourth Proportional to 43,476.61, 65,096.34 and 32,914.68

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Solution

The fourth proportional to 43,476.61, 65,096.34 and 32,914.68 is: 49,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,476.61 : 65,096.34 = 32,914.68 : x
  2. Step 2: Convert to fraction form
    43,476.61/65,096.34 = 32,914.68/x
  3. Step 3: Cross multiply
    43,476.61x = 65,096.34 × 32,914.68
  4. Step 4: Simplify right side
    43,476.61x = 2,142,624,874.79
  5. Step 5: Solve for x
    x = 2,142,624,874.79/43,476.61
  6. Step 6: Final answer
    x = 49,282.25

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Why These Related Problems?

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