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Finding the Fourth Proportional to 54,880.53, 82,304.54 and 23,290.17

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Solution

The fourth proportional to 54,880.53, 82,304.54 and 23,290.17 is: 34,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880.53 : 82,304.54 = 23,290.17 : x
  2. Step 2: Convert to fraction form
    54,880.53/82,304.54 = 23,290.17/x
  3. Step 3: Cross multiply
    54,880.53x = 82,304.54 × 23,290.17
  4. Step 4: Simplify right side
    54,880.53x = 1,916,886,611.92
  5. Step 5: Solve for x
    x = 1,916,886,611.92/54,880.53
  6. Step 6: Final answer
    x = 34,928.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.