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Finding the Fourth Proportional to 76,094.97, 114,166.76 and 36,656.07

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Solution

The fourth proportional to 76,094.97, 114,166.76 and 36,656.07 is: 54,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,094.97 : 114,166.76 = 36,656.07 : x
  2. Step 2: Convert to fraction form
    76,094.97/114,166.76 = 36,656.07/x
  3. Step 3: Cross multiply
    76,094.97x = 114,166.76 × 36,656.07
  4. Step 4: Simplify right side
    76,094.97x = 4,184,904,562.95
  5. Step 5: Solve for x
    x = 4,184,904,562.95/76,094.97
  6. Step 6: Final answer
    x = 54,995.81

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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.