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Finding the Fourth Proportional to 60,415.09, 90,546.09 and 34,134.64

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Solution

The fourth proportional to 60,415.09, 90,546.09 and 34,134.64 is: 51,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,415.09 : 90,546.09 = 34,134.64 : x
  2. Step 2: Convert to fraction form
    60,415.09/90,546.09 = 34,134.64/x
  3. Step 3: Cross multiply
    60,415.09x = 90,546.09 × 34,134.64
  4. Step 4: Simplify right side
    60,415.09x = 3,090,758,185.56
  5. Step 5: Solve for x
    x = 3,090,758,185.56/60,415.09
  6. Step 6: Final answer
    x = 51,158.71

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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.