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Finding the Fourth Proportional to 106,644.74, 160,059.21 and 43,499.67

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Solution

The fourth proportional to 106,644.74, 160,059.21 and 43,499.67 is: 65,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644.74 : 160,059.21 = 43,499.67 : x
  2. Step 2: Convert to fraction form
    106,644.74/160,059.21 = 43,499.67/x
  3. Step 3: Cross multiply
    106,644.74x = 160,059.21 × 43,499.67
  4. Step 4: Simplify right side
    106,644.74x = 6,962,522,052.11
  5. Step 5: Solve for x
    x = 6,962,522,052.11/106,644.74
  6. Step 6: Final answer
    x = 65,287.07

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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.