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Finding the Fourth Proportional to 71,274.63, 106,911.95 and 23,880.98

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Solution

The fourth proportional to 71,274.63, 106,911.95 and 23,880.98 is: 35,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.63 : 106,911.95 = 23,880.98 : x
  2. Step 2: Convert to fraction form
    71,274.63/106,911.95 = 23,880.98/x
  3. Step 3: Cross multiply
    71,274.63x = 106,911.95 × 23,880.98
  4. Step 4: Simplify right side
    71,274.63x = 2,553,161,820.54
  5. Step 5: Solve for x
    x = 2,553,161,820.54/71,274.63
  6. Step 6: Final answer
    x = 35,821.47

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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.