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Finding the Fourth Proportional to 32,249.36, 48,352.32 and 16,460

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Solution

The fourth proportional to 32,249.36, 48,352.32 and 16,460 is: 24,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249.36 : 48,352.32 = 16,460 : x
  2. Step 2: Convert to fraction form
    32,249.36/48,352.32 = 16,460/x
  3. Step 3: Cross multiply
    32,249.36x = 48,352.32 × 16,460
  4. Step 4: Simplify right side
    32,249.36x = 795,879,187.20
  5. Step 5: Solve for x
    x = 795,879,187.20/32,249.36
  6. Step 6: Final answer
    x = 24,678.91

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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.