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Finding the Fourth Proportional to 110,419.88, 165,662.96 and 34,515.32

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Solution

The fourth proportional to 110,419.88, 165,662.96 and 34,515.32 is: 51,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.88 : 165,662.96 = 34,515.32 : x
  2. Step 2: Convert to fraction form
    110,419.88/165,662.96 = 34,515.32/x
  3. Step 3: Cross multiply
    110,419.88x = 165,662.96 × 34,515.32
  4. Step 4: Simplify right side
    110,419.88x = 5,717,909,075.66
  5. Step 5: Solve for x
    x = 5,717,909,075.66/110,419.88
  6. Step 6: Final answer
    x = 51,783.33

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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.