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Finding the Fourth Proportional to 76,457.79, 114,724.26 and 34,367.61

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Solution

The fourth proportional to 76,457.79, 114,724.26 and 34,367.61 is: 51,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,457.79 : 114,724.26 = 34,367.61 : x
  2. Step 2: Convert to fraction form
    76,457.79/114,724.26 = 34,367.61/x
  3. Step 3: Cross multiply
    76,457.79x = 114,724.26 × 34,367.61
  4. Step 4: Simplify right side
    76,457.79x = 3,942,798,625.22
  5. Step 5: Solve for x
    x = 3,942,798,625.22/76,457.79
  6. Step 6: Final answer
    x = 51,568.30

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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.