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Finding the Fourth Proportional to 91,189.65, 136,784.34 and 50,688.91

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Solution

The fourth proportional to 91,189.65, 136,784.34 and 50,688.91 is: 76,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,189.65 : 136,784.34 = 50,688.91 : x
  2. Step 2: Convert to fraction form
    91,189.65/136,784.34 = 50,688.91/x
  3. Step 3: Cross multiply
    91,189.65x = 136,784.34 × 50,688.91
  4. Step 4: Simplify right side
    91,189.65x = 6,933,449,099.67
  5. Step 5: Solve for x
    x = 6,933,449,099.67/91,189.65
  6. Step 6: Final answer
    x = 76,033.29

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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.