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Finding the Fourth Proportional to 110,038.14, 165,043.26 and 35,166.06

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Solution

The fourth proportional to 110,038.14, 165,043.26 and 35,166.06 is: 52,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038.14 : 165,043.26 = 35,166.06 : x
  2. Step 2: Convert to fraction form
    110,038.14/165,043.26 = 35,166.06/x
  3. Step 3: Cross multiply
    110,038.14x = 165,043.26 × 35,166.06
  4. Step 4: Simplify right side
    110,038.14x = 5,803,921,183.76
  5. Step 5: Solve for x
    x = 5,803,921,183.76/110,038.14
  6. Step 6: Final answer
    x = 52,744.63

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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.