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Finding the Fourth Proportional to 76,986.10, 115,455.15 and 30,253.30

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Solution

The fourth proportional to 76,986.10, 115,455.15 and 30,253.30 is: 45,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986.10 : 115,455.15 = 30,253.30 : x
  2. Step 2: Convert to fraction form
    76,986.10/115,455.15 = 30,253.30/x
  3. Step 3: Cross multiply
    76,986.10x = 115,455.15 × 30,253.30
  4. Step 4: Simplify right side
    76,986.10x = 3,492,899,289.50
  5. Step 5: Solve for x
    x = 3,492,899,289.50/76,986.10
  6. Step 6: Final answer
    x = 45,370.52

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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.