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Finding the Fourth Proportional to 38,599.04, 53,268.24 and 21,832

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Solution

The fourth proportional to 38,599.04, 53,268.24 and 21,832 is: 30,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599.04 : 53,268.24 = 21,832 : x
  2. Step 2: Convert to fraction form
    38,599.04/53,268.24 = 21,832/x
  3. Step 3: Cross multiply
    38,599.04x = 53,268.24 × 21,832
  4. Step 4: Simplify right side
    38,599.04x = 1,162,952,215.68
  5. Step 5: Solve for x
    x = 1,162,952,215.68/38,599.04
  6. Step 6: Final answer
    x = 30,129.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.