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Finding the Fourth Proportional to 32,825.25, 45,299.66 and 17,921.25

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Solution

The fourth proportional to 32,825.25, 45,299.66 and 17,921.25 is: 24,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.25 : 45,299.66 = 17,921.25 : x
  2. Step 2: Convert to fraction form
    32,825.25/45,299.66 = 17,921.25/x
  3. Step 3: Cross multiply
    32,825.25x = 45,299.66 × 17,921.25
  4. Step 4: Simplify right side
    32,825.25x = 811,826,442.17
  5. Step 5: Solve for x
    x = 811,826,442.17/32,825.25
  6. Step 6: Final answer
    x = 24,731.77

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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.