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Finding the Fourth Proportional to 32,801.80, 49,197.42 and 9,422.92

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Solution

The fourth proportional to 32,801.80, 49,197.42 and 9,422.92 is: 14,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.80 : 49,197.42 = 9,422.92 : x
  2. Step 2: Convert to fraction form
    32,801.80/49,197.42 = 9,422.92/x
  3. Step 3: Cross multiply
    32,801.80x = 49,197.42 × 9,422.92
  4. Step 4: Simplify right side
    32,801.80x = 463,583,352.87
  5. Step 5: Solve for x
    x = 463,583,352.87/32,801.80
  6. Step 6: Final answer
    x = 14,132.86

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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.