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Finding the Fourth Proportional to 33,144.88, 49,730.28 and 12,370

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Solution

The fourth proportional to 33,144.88, 49,730.28 and 12,370 is: 18,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.88 : 49,730.28 = 12,370 : x
  2. Step 2: Convert to fraction form
    33,144.88/49,730.28 = 12,370/x
  3. Step 3: Cross multiply
    33,144.88x = 49,730.28 × 12,370
  4. Step 4: Simplify right side
    33,144.88x = 615,163,563.60
  5. Step 5: Solve for x
    x = 615,163,563.60/33,144.88
  6. Step 6: Final answer
    x = 18,559.84

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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.