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Finding the Fourth Proportional to 32,642.16, 48,962.10 and 9,268.54

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Solution

The fourth proportional to 32,642.16, 48,962.10 and 9,268.54 is: 13,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.16 : 48,962.10 = 9,268.54 : x
  2. Step 2: Convert to fraction form
    32,642.16/48,962.10 = 9,268.54/x
  3. Step 3: Cross multiply
    32,642.16x = 48,962.10 × 9,268.54
  4. Step 4: Simplify right side
    32,642.16x = 453,807,182.33
  5. Step 5: Solve for x
    x = 453,807,182.33/32,642.16
  6. Step 6: Final answer
    x = 13,902.49

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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.