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Finding the Fourth Proportional to 67,078, 92,529.12 and 41,883.76

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Solution

The fourth proportional to 67,078, 92,529.12 and 41,883.76 is: 57,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,078 : 92,529.12 = 41,883.76 : x
  2. Step 2: Convert to fraction form
    67,078/92,529.12 = 41,883.76/x
  3. Step 3: Cross multiply
    67,078x = 92,529.12 × 41,883.76
  4. Step 4: Simplify right side
    67,078x = 3,875,467,455.09
  5. Step 5: Solve for x
    x = 3,875,467,455.09/67,078
  6. Step 6: Final answer
    x = 57,775.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.