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Finding the Fourth Proportional to 107,322.56, 160,968.34 and 36,232.30

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Solution

The fourth proportional to 107,322.56, 160,968.34 and 36,232.30 is: 54,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,322.56 : 160,968.34 = 36,232.30 : x
  2. Step 2: Convert to fraction form
    107,322.56/160,968.34 = 36,232.30/x
  3. Step 3: Cross multiply
    107,322.56x = 160,968.34 × 36,232.30
  4. Step 4: Simplify right side
    107,322.56x = 5,832,253,185.38
  5. Step 5: Solve for x
    x = 5,832,253,185.38/107,322.56
  6. Step 6: Final answer
    x = 54,343.22

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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.