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Finding the Fourth Proportional to 31,771.60, 47,657.40 and 8,079.10

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Solution

The fourth proportional to 31,771.60, 47,657.40 and 8,079.10 is: 12,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.60 : 47,657.40 = 8,079.10 : x
  2. Step 2: Convert to fraction form
    31,771.60/47,657.40 = 8,079.10/x
  3. Step 3: Cross multiply
    31,771.60x = 47,657.40 × 8,079.10
  4. Step 4: Simplify right side
    31,771.60x = 385,028,900.34
  5. Step 5: Solve for x
    x = 385,028,900.34/31,771.60
  6. Step 6: Final answer
    x = 12,118.65

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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.