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Finding the Fourth Proportional to 110,108, 165,172.93 and 35,209.32

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Solution

The fourth proportional to 110,108, 165,172.93 and 35,209.32 is: 52,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,108 : 165,172.93 = 35,209.32 : x
  2. Step 2: Convert to fraction form
    110,108/165,172.93 = 35,209.32/x
  3. Step 3: Cross multiply
    110,108x = 165,172.93 × 35,209.32
  4. Step 4: Simplify right side
    110,108x = 5,815,626,547.71
  5. Step 5: Solve for x
    x = 5,815,626,547.71/110,108
  6. Step 6: Final answer
    x = 52,817.48

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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.