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Finding the Fourth Proportional to 32,096.22, 48,148.94 and 9,911.50

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Solution

The fourth proportional to 32,096.22, 48,148.94 and 9,911.50 is: 14,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.22 : 48,148.94 = 9,911.50 : x
  2. Step 2: Convert to fraction form
    32,096.22/48,148.94 = 9,911.50/x
  3. Step 3: Cross multiply
    32,096.22x = 48,148.94 × 9,911.50
  4. Step 4: Simplify right side
    32,096.22x = 477,228,218.81
  5. Step 5: Solve for x
    x = 477,228,218.81/32,096.22
  6. Step 6: Final answer
    x = 14,868.67

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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.