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Finding the Fourth Proportional to 32,442.10, 48,663.15 and 11,662.90

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Solution

The fourth proportional to 32,442.10, 48,663.15 and 11,662.90 is: 17,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.10 : 48,663.15 = 11,662.90 : x
  2. Step 2: Convert to fraction form
    32,442.10/48,663.15 = 11,662.90/x
  3. Step 3: Cross multiply
    32,442.10x = 48,663.15 × 11,662.90
  4. Step 4: Simplify right side
    32,442.10x = 567,553,452.14
  5. Step 5: Solve for x
    x = 567,553,452.14/32,442.10
  6. Step 6: Final answer
    x = 17,494.35

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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.