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Finding the Fourth Proportional to 32,632.16, 48,967.60 and 11,857.28

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Solution

The fourth proportional to 32,632.16, 48,967.60 and 11,857.28 is: 17,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.16 : 48,967.60 = 11,857.28 : x
  2. Step 2: Convert to fraction form
    32,632.16/48,967.60 = 11,857.28/x
  3. Step 3: Cross multiply
    32,632.16x = 48,967.60 × 11,857.28
  4. Step 4: Simplify right side
    32,632.16x = 580,622,544.13
  5. Step 5: Solve for x
    x = 580,622,544.13/32,632.16
  6. Step 6: Final answer
    x = 17,792.95

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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.