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Finding the Fourth Proportional to 46,589, 69,894.42 and 15,424.28

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Solution

The fourth proportional to 46,589, 69,894.42 and 15,424.28 is: 23,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,589 : 69,894.42 = 15,424.28 : x
  2. Step 2: Convert to fraction form
    46,589/69,894.42 = 15,424.28/x
  3. Step 3: Cross multiply
    46,589x = 69,894.42 × 15,424.28
  4. Step 4: Simplify right side
    46,589x = 1,078,071,104.52
  5. Step 5: Solve for x
    x = 1,078,071,104.52/46,589
  6. Step 6: Final answer
    x = 23,140.04

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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.