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Finding the Fourth Proportional to 107,131.36, 160,632.22 and 47,956

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Solution

The fourth proportional to 107,131.36, 160,632.22 and 47,956 is: 71,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,131.36 : 160,632.22 = 47,956 : x
  2. Step 2: Convert to fraction form
    107,131.36/160,632.22 = 47,956/x
  3. Step 3: Cross multiply
    107,131.36x = 160,632.22 × 47,956
  4. Step 4: Simplify right side
    107,131.36x = 7,703,278,742.32
  5. Step 5: Solve for x
    x = 7,703,278,742.32/107,131.36
  6. Step 6: Final answer
    x = 71,904.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.