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Finding the Fourth Proportional to 97,752.75, 146,630.57 and 23,880.75

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Solution

The fourth proportional to 97,752.75, 146,630.57 and 23,880.75 is: 35,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,752.75 : 146,630.57 = 23,880.75 : x
  2. Step 2: Convert to fraction form
    97,752.75/146,630.57 = 23,880.75/x
  3. Step 3: Cross multiply
    97,752.75x = 146,630.57 × 23,880.75
  4. Step 4: Simplify right side
    97,752.75x = 3,501,647,984.53
  5. Step 5: Solve for x
    x = 3,501,647,984.53/97,752.75
  6. Step 6: Final answer
    x = 35,821.48

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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.