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Finding the Fourth Proportional to 110,415.83, 165,623.80 and 35,535.97

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Solution

The fourth proportional to 110,415.83, 165,623.80 and 35,535.97 is: 53,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415.83 : 165,623.80 = 35,535.97 : x
  2. Step 2: Convert to fraction form
    110,415.83/165,623.80 = 35,535.97/x
  3. Step 3: Cross multiply
    110,415.83x = 165,623.80 × 35,535.97
  4. Step 4: Simplify right side
    110,415.83x = 5,885,601,559.97
  5. Step 5: Solve for x
    x = 5,885,601,559.97/110,415.83
  6. Step 6: Final answer
    x = 53,303.97

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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.