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Finding the Fourth Proportional to 30,610.89, 45,917.34 and 8,424.18

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Solution

The fourth proportional to 30,610.89, 45,917.34 and 8,424.18 is: 12,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610.89 : 45,917.34 = 8,424.18 : x
  2. Step 2: Convert to fraction form
    30,610.89/45,917.34 = 8,424.18/x
  3. Step 3: Cross multiply
    30,610.89x = 45,917.34 × 8,424.18
  4. Step 4: Simplify right side
    30,610.89x = 386,815,937.28
  5. Step 5: Solve for x
    x = 386,815,937.28/30,610.89
  6. Step 6: Final answer
    x = 12,636.55

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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.