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Finding the Fourth Proportional to 32,893.80, 49,340.64 and 9,520.20

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Solution

The fourth proportional to 32,893.80, 49,340.64 and 9,520.20 is: 14,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.80 : 49,340.64 = 9,520.20 : x
  2. Step 2: Convert to fraction form
    32,893.80/49,340.64 = 9,520.20/x
  3. Step 3: Cross multiply
    32,893.80x = 49,340.64 × 9,520.20
  4. Step 4: Simplify right side
    32,893.80x = 469,732,760.93
  5. Step 5: Solve for x
    x = 469,732,760.93/32,893.80
  6. Step 6: Final answer
    x = 14,280.28

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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.