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Finding the Fourth Proportional to 110,276.84, 165,412.14 and 35,396.40

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Solution

The fourth proportional to 110,276.84, 165,412.14 and 35,396.40 is: 53,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,276.84 : 165,412.14 = 35,396.40 : x
  2. Step 2: Convert to fraction form
    110,276.84/165,412.14 = 35,396.40/x
  3. Step 3: Cross multiply
    110,276.84x = 165,412.14 × 35,396.40
  4. Step 4: Simplify right side
    110,276.84x = 5,854,994,272.30
  5. Step 5: Solve for x
    x = 5,854,994,272.30/110,276.84
  6. Step 6: Final answer
    x = 53,093.60

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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.