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Finding the Fourth Proportional to 32,967.66, 49,458.32 and 13,247.75

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Solution

The fourth proportional to 32,967.66, 49,458.32 and 13,247.75 is: 19,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.66 : 49,458.32 = 13,247.75 : x
  2. Step 2: Convert to fraction form
    32,967.66/49,458.32 = 13,247.75/x
  3. Step 3: Cross multiply
    32,967.66x = 49,458.32 × 13,247.75
  4. Step 4: Simplify right side
    32,967.66x = 655,211,603.13
  5. Step 5: Solve for x
    x = 655,211,603.13/32,967.66
  6. Step 6: Final answer
    x = 19,874.38

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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.