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Finding the Fourth Proportional to 107,295, 160,951.38 and 33,423

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Solution

The fourth proportional to 107,295, 160,951.38 and 33,423 is: 50,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,295 : 160,951.38 = 33,423 : x
  2. Step 2: Convert to fraction form
    107,295/160,951.38 = 33,423/x
  3. Step 3: Cross multiply
    107,295x = 160,951.38 × 33,423
  4. Step 4: Simplify right side
    107,295x = 5,379,477,973.74
  5. Step 5: Solve for x
    x = 5,379,477,973.74/107,295
  6. Step 6: Final answer
    x = 50,137.27

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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.