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Finding the Fourth Proportional to 32,042.40, 47,950.20 and 27,927.60

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Solution

The fourth proportional to 32,042.40, 47,950.20 and 27,927.60 is: 41,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.40 : 47,950.20 = 27,927.60 : x
  2. Step 2: Convert to fraction form
    32,042.40/47,950.20 = 27,927.60/x
  3. Step 3: Cross multiply
    32,042.40x = 47,950.20 × 27,927.60
  4. Step 4: Simplify right side
    32,042.40x = 1,339,134,005.52
  5. Step 5: Solve for x
    x = 1,339,134,005.52/32,042.40
  6. Step 6: Final answer
    x = 41,792.56

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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.