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Finding the Fourth Proportional to 76,418.37, 114,615 and 20,261.95

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Solution

The fourth proportional to 76,418.37, 114,615 and 20,261.95 is: 30,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.37 : 114,615 = 20,261.95 : x
  2. Step 2: Convert to fraction form
    76,418.37/114,615 = 20,261.95/x
  3. Step 3: Cross multiply
    76,418.37x = 114,615 × 20,261.95
  4. Step 4: Simplify right side
    76,418.37x = 2,322,323,112.71
  5. Step 5: Solve for x
    x = 2,322,323,112.71/76,418.37
  6. Step 6: Final answer
    x = 30,389.59

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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.