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Finding the Fourth Proportional to 109,816.60, 164,751.90 and 30,929.80

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Solution

The fourth proportional to 109,816.60, 164,751.90 and 30,929.80 is: 46,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,816.60 : 164,751.90 = 30,929.80 : x
  2. Step 2: Convert to fraction form
    109,816.60/164,751.90 = 30,929.80/x
  3. Step 3: Cross multiply
    109,816.60x = 164,751.90 × 30,929.80
  4. Step 4: Simplify right side
    109,816.60x = 5,095,743,316.62
  5. Step 5: Solve for x
    x = 5,095,743,316.62/109,816.60
  6. Step 6: Final answer
    x = 46,402.30

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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.