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Finding the Fourth Proportional to 110,447.64, 165,694.14 and 35,545.32

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Solution

The fourth proportional to 110,447.64, 165,694.14 and 35,545.32 is: 53,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,447.64 : 165,694.14 = 35,545.32 : x
  2. Step 2: Convert to fraction form
    110,447.64/165,694.14 = 35,545.32/x
  3. Step 3: Cross multiply
    110,447.64x = 165,694.14 × 35,545.32
  4. Step 4: Simplify right side
    110,447.64x = 5,889,651,228.42
  5. Step 5: Solve for x
    x = 5,889,651,228.42/110,447.64
  6. Step 6: Final answer
    x = 53,325.28

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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.