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Finding the Fourth Proportional to 32,815.76, 49,223.76 and 8,191.76

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Solution

The fourth proportional to 32,815.76, 49,223.76 and 8,191.76 is: 12,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.76 : 49,223.76 = 8,191.76 : x
  2. Step 2: Convert to fraction form
    32,815.76/49,223.76 = 8,191.76/x
  3. Step 3: Cross multiply
    32,815.76x = 49,223.76 × 8,191.76
  4. Step 4: Simplify right side
    32,815.76x = 403,229,228.22
  5. Step 5: Solve for x
    x = 403,229,228.22/32,815.76
  6. Step 6: Final answer
    x = 12,287.67

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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.