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Finding the Fourth Proportional to 32,442.24, 48,767.04 and 27,258.24

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Solution

The fourth proportional to 32,442.24, 48,767.04 and 27,258.24 is: 40,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.24 : 48,767.04 = 27,258.24 : x
  2. Step 2: Convert to fraction form
    32,442.24/48,767.04 = 27,258.24/x
  3. Step 3: Cross multiply
    32,442.24x = 48,767.04 × 27,258.24
  4. Step 4: Simplify right side
    32,442.24x = 1,329,303,680.41
  5. Step 5: Solve for x
    x = 1,329,303,680.41/32,442.24
  6. Step 6: Final answer
    x = 40,974.47

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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.