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Finding the Fourth Proportional to 106,759.98, 160,085.50 and 35,657.01

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Solution

The fourth proportional to 106,759.98, 160,085.50 and 35,657.01 is: 53,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,759.98 : 160,085.50 = 35,657.01 : x
  2. Step 2: Convert to fraction form
    106,759.98/160,085.50 = 35,657.01/x
  3. Step 3: Cross multiply
    106,759.98x = 160,085.50 × 35,657.01
  4. Step 4: Simplify right side
    106,759.98x = 5,708,170,185.21
  5. Step 5: Solve for x
    x = 5,708,170,185.21/106,759.98
  6. Step 6: Final answer
    x = 53,467.32

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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.