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Finding the Fourth Proportional to 32,065.20, 48,096.72 and 14,522.76

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Solution

The fourth proportional to 32,065.20, 48,096.72 and 14,522.76 is: 21,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.20 : 48,096.72 = 14,522.76 : x
  2. Step 2: Convert to fraction form
    32,065.20/48,096.72 = 14,522.76/x
  3. Step 3: Cross multiply
    32,065.20x = 48,096.72 × 14,522.76
  4. Step 4: Simplify right side
    32,065.20x = 698,497,121.35
  5. Step 5: Solve for x
    x = 698,497,121.35/32,065.20
  6. Step 6: Final answer
    x = 21,783.65

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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.