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Finding the Fourth Proportional to 15,292.50, 22,942.05 and 4,762.31

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Solution

The fourth proportional to 15,292.50, 22,942.05 and 4,762.31 is: 7,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,292.50 : 22,942.05 = 4,762.31 : x
  2. Step 2: Convert to fraction form
    15,292.50/22,942.05 = 4,762.31/x
  3. Step 3: Cross multiply
    15,292.50x = 22,942.05 × 4,762.31
  4. Step 4: Simplify right side
    15,292.50x = 109,257,039.43
  5. Step 5: Solve for x
    x = 109,257,039.43/15,292.50
  6. Step 6: Final answer
    x = 7,144.49

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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.