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Finding the Fourth Proportional to 76,136.61, 114,224.69 and 22,826.44

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Solution

The fourth proportional to 76,136.61, 114,224.69 and 22,826.44 is: 34,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,136.61 : 114,224.69 = 22,826.44 : x
  2. Step 2: Convert to fraction form
    76,136.61/114,224.69 = 22,826.44/x
  3. Step 3: Cross multiply
    76,136.61x = 114,224.69 × 22,826.44
  4. Step 4: Simplify right side
    76,136.61x = 2,607,343,232.65
  5. Step 5: Solve for x
    x = 2,607,343,232.65/76,136.61
  6. Step 6: Final answer
    x = 34,245.59

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1.5x scale

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.