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Finding the Fourth Proportional to 30,792.48, 46,179 and 13,257.60

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Solution

The fourth proportional to 30,792.48, 46,179 and 13,257.60 is: 19,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.48 : 46,179 = 13,257.60 : x
  2. Step 2: Convert to fraction form
    30,792.48/46,179 = 13,257.60/x
  3. Step 3: Cross multiply
    30,792.48x = 46,179 × 13,257.60
  4. Step 4: Simplify right side
    30,792.48x = 612,222,710.40
  5. Step 5: Solve for x
    x = 612,222,710.40/30,792.48
  6. Step 6: Final answer
    x = 19,882.22

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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.