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Finding the Fourth Proportional to 76,642.14, 114,963 and 24,055.56

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Solution

The fourth proportional to 76,642.14, 114,963 and 24,055.56 is: 36,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642.14 : 114,963 = 24,055.56 : x
  2. Step 2: Convert to fraction form
    76,642.14/114,963 = 24,055.56/x
  3. Step 3: Cross multiply
    76,642.14x = 114,963 × 24,055.56
  4. Step 4: Simplify right side
    76,642.14x = 2,765,499,344.28
  5. Step 5: Solve for x
    x = 2,765,499,344.28/76,642.14
  6. Step 6: Final answer
    x = 36,083.27

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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.