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Finding the Fourth Proportional to 32,732.94, 49,099.43 and 9,359.38

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Solution

The fourth proportional to 32,732.94, 49,099.43 and 9,359.38 is: 14,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.94 : 49,099.43 = 9,359.38 : x
  2. Step 2: Convert to fraction form
    32,732.94/49,099.43 = 9,359.38/x
  3. Step 3: Cross multiply
    32,732.94x = 49,099.43 × 9,359.38
  4. Step 4: Simplify right side
    32,732.94x = 459,540,223.15
  5. Step 5: Solve for x
    x = 459,540,223.15/32,732.94
  6. Step 6: Final answer
    x = 14,039.08

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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.