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Finding the Fourth Proportional to 106,622.98, 159,759.42 and 36,464.02

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Solution

The fourth proportional to 106,622.98, 159,759.42 and 36,464.02 is: 54,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,622.98 : 159,759.42 = 36,464.02 : x
  2. Step 2: Convert to fraction form
    106,622.98/159,759.42 = 36,464.02/x
  3. Step 3: Cross multiply
    106,622.98x = 159,759.42 × 36,464.02
  4. Step 4: Simplify right side
    106,622.98x = 5,825,470,686.07
  5. Step 5: Solve for x
    x = 5,825,470,686.07/106,622.98
  6. Step 6: Final answer
    x = 54,636.16

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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.