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Finding the Fourth Proportional to 32,967, 49,456.70 and 13,247.12

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Solution

The fourth proportional to 32,967, 49,456.70 and 13,247.12 is: 19,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 49,456.70 = 13,247.12 : x
  2. Step 2: Convert to fraction form
    32,967/49,456.70 = 13,247.12/x
  3. Step 3: Cross multiply
    32,967x = 49,456.70 × 13,247.12
  4. Step 4: Simplify right side
    32,967x = 655,158,839.70
  5. Step 5: Solve for x
    x = 655,158,839.70/32,967
  6. Step 6: Final answer
    x = 19,873.17

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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.