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Finding the Fourth Proportional to 32,991.94, 49,424.10 and 20,516.95

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Solution

The fourth proportional to 32,991.94, 49,424.10 and 20,516.95 is: 30,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.94 : 49,424.10 = 20,516.95 : x
  2. Step 2: Convert to fraction form
    32,991.94/49,424.10 = 20,516.95/x
  3. Step 3: Cross multiply
    32,991.94x = 49,424.10 × 20,516.95
  4. Step 4: Simplify right side
    32,991.94x = 1,014,031,788.50
  5. Step 5: Solve for x
    x = 1,014,031,788.50/32,991.94
  6. Step 6: Final answer
    x = 30,735.74

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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.