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Finding the Fourth Proportional to 32,982.81, 49,470.74 and 9,289.74

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Solution

The fourth proportional to 32,982.81, 49,470.74 and 9,289.74 is: 13,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.81 : 49,470.74 = 9,289.74 : x
  2. Step 2: Convert to fraction form
    32,982.81/49,470.74 = 9,289.74/x
  3. Step 3: Cross multiply
    32,982.81x = 49,470.74 × 9,289.74
  4. Step 4: Simplify right side
    32,982.81x = 459,570,194.77
  5. Step 5: Solve for x
    x = 459,570,194.77/32,982.81
  6. Step 6: Final answer
    x = 13,933.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.