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Finding the Fourth Proportional to 32,206.32, 48,308.94 and 8,831.88

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Solution

The fourth proportional to 32,206.32, 48,308.94 and 8,831.88 is: 13,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.32 : 48,308.94 = 8,831.88 : x
  2. Step 2: Convert to fraction form
    32,206.32/48,308.94 = 8,831.88/x
  3. Step 3: Cross multiply
    32,206.32x = 48,308.94 × 8,831.88
  4. Step 4: Simplify right side
    32,206.32x = 426,658,761.01
  5. Step 5: Solve for x
    x = 426,658,761.01/32,206.32
  6. Step 6: Final answer
    x = 13,247.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.