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Finding the Fourth Proportional to 37,441, 51,668.58 and 24,193

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Solution

The fourth proportional to 37,441, 51,668.58 and 24,193 is: 33,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,441 : 51,668.58 = 24,193 : x
  2. Step 2: Convert to fraction form
    37,441/51,668.58 = 24,193/x
  3. Step 3: Cross multiply
    37,441x = 51,668.58 × 24,193
  4. Step 4: Simplify right side
    37,441x = 1,250,017,955.94
  5. Step 5: Solve for x
    x = 1,250,017,955.94/37,441
  6. Step 6: Final answer
    x = 33,386.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.