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Finding the Fourth Proportional to 76,114.89, 114,199.37 and 33,991.14

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Solution

The fourth proportional to 76,114.89, 114,199.37 and 33,991.14 is: 50,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.89 : 114,199.37 = 33,991.14 : x
  2. Step 2: Convert to fraction form
    76,114.89/114,199.37 = 33,991.14/x
  3. Step 3: Cross multiply
    76,114.89x = 114,199.37 × 33,991.14
  4. Step 4: Simplify right side
    76,114.89x = 3,881,767,159.34
  5. Step 5: Solve for x
    x = 3,881,767,159.34/76,114.89
  6. Step 6: Final answer
    x = 50,998.79

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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.