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Finding the Fourth Proportional to 32,449, 48,697.98 and 16,865.32

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Solution

The fourth proportional to 32,449, 48,697.98 and 16,865.32 is: 25,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449 : 48,697.98 = 16,865.32 : x
  2. Step 2: Convert to fraction form
    32,449/48,697.98 = 16,865.32/x
  3. Step 3: Cross multiply
    32,449x = 48,697.98 × 16,865.32
  4. Step 4: Simplify right side
    32,449x = 821,307,016.05
  5. Step 5: Solve for x
    x = 821,307,016.05/32,449
  6. Step 6: Final answer
    x = 25,310.70

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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.