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Finding the Fourth Proportional to 103,601.36, 155,297.46 and 40,382

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Solution

The fourth proportional to 103,601.36, 155,297.46 and 40,382 is: 60,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601.36 : 155,297.46 = 40,382 : x
  2. Step 2: Convert to fraction form
    103,601.36/155,297.46 = 40,382/x
  3. Step 3: Cross multiply
    103,601.36x = 155,297.46 × 40,382
  4. Step 4: Simplify right side
    103,601.36x = 6,271,222,029.72
  5. Step 5: Solve for x
    x = 6,271,222,029.72/103,601.36
  6. Step 6: Final answer
    x = 60,532.24

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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.