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Finding the Fourth Proportional to 107,442.90, 161,164.32 and 33,570.90

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Solution

The fourth proportional to 107,442.90, 161,164.32 and 33,570.90 is: 50,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,442.90 : 161,164.32 = 33,570.90 : x
  2. Step 2: Convert to fraction form
    107,442.90/161,164.32 = 33,570.90/x
  3. Step 3: Cross multiply
    107,442.90x = 161,164.32 × 33,570.90
  4. Step 4: Simplify right side
    107,442.90x = 5,410,431,270.29
  5. Step 5: Solve for x
    x = 5,410,431,270.29/107,442.90
  6. Step 6: Final answer
    x = 50,356.34

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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.