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Finding the Fourth Proportional to 32,641.98, 48,962.88 and 9,268.44

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Solution

The fourth proportional to 32,641.98, 48,962.88 and 9,268.44 is: 13,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.98 : 48,962.88 = 9,268.44 : x
  2. Step 2: Convert to fraction form
    32,641.98/48,962.88 = 9,268.44/x
  3. Step 3: Cross multiply
    32,641.98x = 48,962.88 × 9,268.44
  4. Step 4: Simplify right side
    32,641.98x = 453,809,515.51
  5. Step 5: Solve for x
    x = 453,809,515.51/32,641.98
  6. Step 6: Final answer
    x = 13,902.63

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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.