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Finding the Fourth Proportional to 32,286.34, 48,339.28 and 17,442.08

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Solution

The fourth proportional to 32,286.34, 48,339.28 and 17,442.08 is: 26,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.34 : 48,339.28 = 17,442.08 : x
  2. Step 2: Convert to fraction form
    32,286.34/48,339.28 = 17,442.08/x
  3. Step 3: Cross multiply
    32,286.34x = 48,339.28 × 17,442.08
  4. Step 4: Simplify right side
    32,286.34x = 843,137,588.90
  5. Step 5: Solve for x
    x = 843,137,588.90/32,286.34
  6. Step 6: Final answer
    x = 26,114.37

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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.