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Finding the Fourth Proportional to 33,695.80, 50,324.84 and 31,683.76

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Solution

The fourth proportional to 33,695.80, 50,324.84 and 31,683.76 is: 47,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695.80 : 50,324.84 = 31,683.76 : x
  2. Step 2: Convert to fraction form
    33,695.80/50,324.84 = 31,683.76/x
  3. Step 3: Cross multiply
    33,695.80x = 50,324.84 × 31,683.76
  4. Step 4: Simplify right side
    33,695.80x = 1,594,480,152.60
  5. Step 5: Solve for x
    x = 1,594,480,152.60/33,695.80
  6. Step 6: Final answer
    x = 47,319.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.