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Finding the Fourth Proportional to 30,769.60, 46,154.34 and 22,021.60

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Solution

The fourth proportional to 30,769.60, 46,154.34 and 22,021.60 is: 33,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.60 : 46,154.34 = 22,021.60 : x
  2. Step 2: Convert to fraction form
    30,769.60/46,154.34 = 22,021.60/x
  3. Step 3: Cross multiply
    30,769.60x = 46,154.34 × 22,021.60
  4. Step 4: Simplify right side
    30,769.60x = 1,016,392,413.74
  5. Step 5: Solve for x
    x = 1,016,392,413.74/30,769.60
  6. Step 6: Final answer
    x = 33,032.36

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1.5x scale

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.