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Finding the Fourth Proportional to 106,108.16, 159,164.08 and 35,989.28

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Solution

The fourth proportional to 106,108.16, 159,164.08 and 35,989.28 is: 53,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,108.16 : 159,164.08 = 35,989.28 : x
  2. Step 2: Convert to fraction form
    106,108.16/159,164.08 = 35,989.28/x
  3. Step 3: Cross multiply
    106,108.16x = 159,164.08 × 35,989.28
  4. Step 4: Simplify right side
    106,108.16x = 5,728,200,641.06
  5. Step 5: Solve for x
    x = 5,728,200,641.06/106,108.16
  6. Step 6: Final answer
    x = 53,984.54

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1.5x scale

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.