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Finding the Fourth Proportional to 76,212.16, 114,264.78 and 41,174.80

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Solution

The fourth proportional to 76,212.16, 114,264.78 and 41,174.80 is: 61,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.16 : 114,264.78 = 41,174.80 : x
  2. Step 2: Convert to fraction form
    76,212.16/114,264.78 = 41,174.80/x
  3. Step 3: Cross multiply
    76,212.16x = 114,264.78 × 41,174.80
  4. Step 4: Simplify right side
    76,212.16x = 4,704,829,463.54
  5. Step 5: Solve for x
    x = 4,704,829,463.54/76,212.16
  6. Step 6: Final answer
    x = 61,733.32

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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.