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Finding the Fourth Proportional to 76,586.96, 114,880.44 and 43,322.96

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Solution

The fourth proportional to 76,586.96, 114,880.44 and 43,322.96 is: 64,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,586.96 : 114,880.44 = 43,322.96 : x
  2. Step 2: Convert to fraction form
    76,586.96/114,880.44 = 43,322.96/x
  3. Step 3: Cross multiply
    76,586.96x = 114,880.44 × 43,322.96
  4. Step 4: Simplify right side
    76,586.96x = 4,976,960,706.90
  5. Step 5: Solve for x
    x = 4,976,960,706.90/76,586.96
  6. Step 6: Final answer
    x = 64,984.44

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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.