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Finding the Fourth Proportional to 32,992.32, 49,488.53 and 8,032.38

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Solution

The fourth proportional to 32,992.32, 49,488.53 and 8,032.38 is: 12,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.32 : 49,488.53 = 8,032.38 : x
  2. Step 2: Convert to fraction form
    32,992.32/49,488.53 = 8,032.38/x
  3. Step 3: Cross multiply
    32,992.32x = 49,488.53 × 8,032.38
  4. Step 4: Simplify right side
    32,992.32x = 397,510,678.60
  5. Step 5: Solve for x
    x = 397,510,678.60/32,992.32
  6. Step 6: Final answer
    x = 12,048.58

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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.