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Finding the Fourth Proportional to 110,403.70, 165,633.15 and 35,530.90

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Solution

The fourth proportional to 110,403.70, 165,633.15 and 35,530.90 is: 53,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,403.70 : 165,633.15 = 35,530.90 : x
  2. Step 2: Convert to fraction form
    110,403.70/165,633.15 = 35,530.90/x
  3. Step 3: Cross multiply
    110,403.70x = 165,633.15 × 35,530.90
  4. Step 4: Simplify right side
    110,403.70x = 5,885,094,889.34
  5. Step 5: Solve for x
    x = 5,885,094,889.34/110,403.70
  6. Step 6: Final answer
    x = 53,305.23

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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.