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Finding the Fourth Proportional to 76,546.36, 114,712.62 and 37,093

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Solution

The fourth proportional to 76,546.36, 114,712.62 and 37,093 is: 55,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546.36 : 114,712.62 = 37,093 : x
  2. Step 2: Convert to fraction form
    76,546.36/114,712.62 = 37,093/x
  3. Step 3: Cross multiply
    76,546.36x = 114,712.62 × 37,093
  4. Step 4: Simplify right side
    76,546.36x = 4,255,035,213.66
  5. Step 5: Solve for x
    x = 4,255,035,213.66/76,546.36
  6. Step 6: Final answer
    x = 55,587.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.