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Finding the Fourth Proportional to 110,172.32, 165,228.96 and 47,828

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Solution

The fourth proportional to 110,172.32, 165,228.96 and 47,828 is: 71,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,172.32 : 165,228.96 = 47,828 : x
  2. Step 2: Convert to fraction form
    110,172.32/165,228.96 = 47,828/x
  3. Step 3: Cross multiply
    110,172.32x = 165,228.96 × 47,828
  4. Step 4: Simplify right side
    110,172.32x = 7,902,570,698.88
  5. Step 5: Solve for x
    x = 7,902,570,698.88/110,172.32
  6. Step 6: Final answer
    x = 71,729.18

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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.