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Finding the Fourth Proportional to 30,627.95, 45,943.50 and 8,440.84

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Solution

The fourth proportional to 30,627.95, 45,943.50 and 8,440.84 is: 12,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.95 : 45,943.50 = 8,440.84 : x
  2. Step 2: Convert to fraction form
    30,627.95/45,943.50 = 8,440.84/x
  3. Step 3: Cross multiply
    30,627.95x = 45,943.50 × 8,440.84
  4. Step 4: Simplify right side
    30,627.95x = 387,801,460.62
  5. Step 5: Solve for x
    x = 387,801,460.62/30,627.95
  6. Step 6: Final answer
    x = 12,661.69

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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.