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Finding the Fourth Proportional to 109,360.70, 164,020.80 and 30,458.60

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Solution

The fourth proportional to 109,360.70, 164,020.80 and 30,458.60 is: 45,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360.70 : 164,020.80 = 30,458.60 : x
  2. Step 2: Convert to fraction form
    109,360.70/164,020.80 = 30,458.60/x
  3. Step 3: Cross multiply
    109,360.70x = 164,020.80 × 30,458.60
  4. Step 4: Simplify right side
    109,360.70x = 4,995,843,938.88
  5. Step 5: Solve for x
    x = 4,995,843,938.88/109,360.70
  6. Step 6: Final answer
    x = 45,682.26

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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.