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Finding the Fourth Proportional to 32,022.09, 48,027.69 and 8,643.06

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Solution

The fourth proportional to 32,022.09, 48,027.69 and 8,643.06 is: 12,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.09 : 48,027.69 = 8,643.06 : x
  2. Step 2: Convert to fraction form
    32,022.09/48,027.69 = 8,643.06/x
  3. Step 3: Cross multiply
    32,022.09x = 48,027.69 × 8,643.06
  4. Step 4: Simplify right side
    32,022.09x = 415,106,206.33
  5. Step 5: Solve for x
    x = 415,106,206.33/32,022.09
  6. Step 6: Final answer
    x = 12,963.12

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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.