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Finding the Fourth Proportional to 110,442.70, 165,664.05 and 40,324.30

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Solution

The fourth proportional to 110,442.70, 165,664.05 and 40,324.30 is: 60,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,442.70 : 165,664.05 = 40,324.30 : x
  2. Step 2: Convert to fraction form
    110,442.70/165,664.05 = 40,324.30/x
  3. Step 3: Cross multiply
    110,442.70x = 165,664.05 × 40,324.30
  4. Step 4: Simplify right side
    110,442.70x = 6,680,286,851.42
  5. Step 5: Solve for x
    x = 6,680,286,851.42/110,442.70
  6. Step 6: Final answer
    x = 60,486.45

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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.