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Finding the Fourth Proportional to 32,850.52, 49,270.38 and 9,470.68

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Solution

The fourth proportional to 32,850.52, 49,270.38 and 9,470.68 is: 14,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.52 : 49,270.38 = 9,470.68 : x
  2. Step 2: Convert to fraction form
    32,850.52/49,270.38 = 9,470.68/x
  3. Step 3: Cross multiply
    32,850.52x = 49,270.38 × 9,470.68
  4. Step 4: Simplify right side
    32,850.52x = 466,624,002.46
  5. Step 5: Solve for x
    x = 466,624,002.46/32,850.52
  6. Step 6: Final answer
    x = 14,204.46

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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.