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Finding the Fourth Proportional to 110,622.70, 165,958.35 and 35,730.10

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Solution

The fourth proportional to 110,622.70, 165,958.35 and 35,730.10 is: 53,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,622.70 : 165,958.35 = 35,730.10 : x
  2. Step 2: Convert to fraction form
    110,622.70/165,958.35 = 35,730.10/x
  3. Step 3: Cross multiply
    110,622.70x = 165,958.35 × 35,730.10
  4. Step 4: Simplify right side
    110,622.70x = 5,929,708,441.34
  5. Step 5: Solve for x
    x = 5,929,708,441.34/110,622.70
  6. Step 6: Final answer
    x = 53,603.00

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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.