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Finding the Fourth Proportional to 30,348, 41,880.78 and 17,772.48

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Solution

The fourth proportional to 30,348, 41,880.78 and 17,772.48 is: 24,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348 : 41,880.78 = 17,772.48 : x
  2. Step 2: Convert to fraction form
    30,348/41,880.78 = 17,772.48/x
  3. Step 3: Cross multiply
    30,348x = 41,880.78 × 17,772.48
  4. Step 4: Simplify right side
    30,348x = 744,325,324.93
  5. Step 5: Solve for x
    x = 744,325,324.93/30,348
  6. Step 6: Final answer
    x = 24,526.34

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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.