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Finding the Fourth Proportional to 43,200, 59,616 and 23,328

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Solution

The fourth proportional to 43,200, 59,616 and 23,328 is: 32,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 59,616 = 23,328 : x
  2. Step 2: Convert to fraction form
    43,200/59,616 = 23,328/x
  3. Step 3: Cross multiply
    43,200x = 59,616 × 23,328
  4. Step 4: Simplify right side
    43,200x = 1,390,722,048
  5. Step 5: Solve for x
    x = 1,390,722,048/43,200
  6. Step 6: Final answer
    x = 32,192.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.