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Finding the Fourth Proportional to 32,893.68, 49,347 and 9,520.32

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Solution

The fourth proportional to 32,893.68, 49,347 and 9,520.32 is: 14,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.68 : 49,347 = 9,520.32 : x
  2. Step 2: Convert to fraction form
    32,893.68/49,347 = 9,520.32/x
  3. Step 3: Cross multiply
    32,893.68x = 49,347 × 9,520.32
  4. Step 4: Simplify right side
    32,893.68x = 469,799,231.04
  5. Step 5: Solve for x
    x = 469,799,231.04/32,893.68
  6. Step 6: Final answer
    x = 14,282.36

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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.