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Finding the Fourth Proportional to 71,228.27, 106,894.90 and 33,788.45

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Solution

The fourth proportional to 71,228.27, 106,894.90 and 33,788.45 is: 50,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.27 : 106,894.90 = 33,788.45 : x
  2. Step 2: Convert to fraction form
    71,228.27/106,894.90 = 33,788.45/x
  3. Step 3: Cross multiply
    71,228.27x = 106,894.90 × 33,788.45
  4. Step 4: Simplify right side
    71,228.27x = 3,611,812,983.91
  5. Step 5: Solve for x
    x = 3,611,812,983.91/71,228.27
  6. Step 6: Final answer
    x = 50,707.58

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1.5x scale

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.