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Finding the Fourth Proportional to 76,131.66, 114,189.27 and 19,977.36

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Solution

The fourth proportional to 76,131.66, 114,189.27 and 19,977.36 is: 29,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,131.66 : 114,189.27 = 19,977.36 : x
  2. Step 2: Convert to fraction form
    76,131.66/114,189.27 = 19,977.36/x
  3. Step 3: Cross multiply
    76,131.66x = 114,189.27 × 19,977.36
  4. Step 4: Simplify right side
    76,131.66x = 2,281,200,154.93
  5. Step 5: Solve for x
    x = 2,281,200,154.93/76,131.66
  6. Step 6: Final answer
    x = 29,963.88

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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.