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Finding the Fourth Proportional to 76,987.56, 115,488.63 and 30,229.50

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Solution

The fourth proportional to 76,987.56, 115,488.63 and 30,229.50 is: 45,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,987.56 : 115,488.63 = 30,229.50 : x
  2. Step 2: Convert to fraction form
    76,987.56/115,488.63 = 30,229.50/x
  3. Step 3: Cross multiply
    76,987.56x = 115,488.63 × 30,229.50
  4. Step 4: Simplify right side
    76,987.56x = 3,491,163,540.59
  5. Step 5: Solve for x
    x = 3,491,163,540.59/76,987.56
  6. Step 6: Final answer
    x = 45,347.11

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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.