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Finding the Fourth Proportional to 110,538.90, 165,840.65 and 35,657.39

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Solution

The fourth proportional to 110,538.90, 165,840.65 and 35,657.39 is: 53,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,538.90 : 165,840.65 = 35,657.39 : x
  2. Step 2: Convert to fraction form
    110,538.90/165,840.65 = 35,657.39/x
  3. Step 3: Cross multiply
    110,538.90x = 165,840.65 × 35,657.39
  4. Step 4: Simplify right side
    110,538.90x = 5,913,445,104.93
  5. Step 5: Solve for x
    x = 5,913,445,104.93/110,538.90
  6. Step 6: Final answer
    x = 53,496.51

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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.