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Finding the Fourth Proportional to 110,978.28, 166,585.88 and 47,829.56

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Solution

The fourth proportional to 110,978.28, 166,585.88 and 47,829.56 is: 71,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.28 : 166,585.88 = 47,829.56 : x
  2. Step 2: Convert to fraction form
    110,978.28/166,585.88 = 47,829.56/x
  3. Step 3: Cross multiply
    110,978.28x = 166,585.88 × 47,829.56
  4. Step 4: Simplify right side
    110,978.28x = 7,967,729,699.29
  5. Step 5: Solve for x
    x = 7,967,729,699.29/110,978.28
  6. Step 6: Final answer
    x = 71,795.40

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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.