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Finding the Fourth Proportional to 31,903.70, 47,855.55 and 8,529.53

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Solution

The fourth proportional to 31,903.70, 47,855.55 and 8,529.53 is: 12,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.70 : 47,855.55 = 8,529.53 : x
  2. Step 2: Convert to fraction form
    31,903.70/47,855.55 = 8,529.53/x
  3. Step 3: Cross multiply
    31,903.70x = 47,855.55 × 8,529.53
  4. Step 4: Simplify right side
    31,903.70x = 408,185,349.39
  5. Step 5: Solve for x
    x = 408,185,349.39/31,903.70
  6. Step 6: Final answer
    x = 12,794.30

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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.