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Finding the Fourth Proportional to 32,270.16, 48,393 and 12,546.30

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Solution

The fourth proportional to 32,270.16, 48,393 and 12,546.30 is: 18,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.16 : 48,393 = 12,546.30 : x
  2. Step 2: Convert to fraction form
    32,270.16/48,393 = 12,546.30/x
  3. Step 3: Cross multiply
    32,270.16x = 48,393 × 12,546.30
  4. Step 4: Simplify right side
    32,270.16x = 607,153,095.90
  5. Step 5: Solve for x
    x = 607,153,095.90/32,270.16
  6. Step 6: Final answer
    x = 18,814.69

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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.