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Finding the Fourth Proportional to 76,299, 114,480 and 41,197.32

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Solution

The fourth proportional to 76,299, 114,480 and 41,197.32 is: 61,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,299 : 114,480 = 41,197.32 : x
  2. Step 2: Convert to fraction form
    76,299/114,480 = 41,197.32/x
  3. Step 3: Cross multiply
    76,299x = 114,480 × 41,197.32
  4. Step 4: Simplify right side
    76,299x = 4,716,269,193.60
  5. Step 5: Solve for x
    x = 4,716,269,193.60/76,299
  6. Step 6: Final answer
    x = 61,812.99

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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.