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Finding the Fourth Proportional to 38,413.20, 57,619.80 and 22,666.80

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Solution

The fourth proportional to 38,413.20, 57,619.80 and 22,666.80 is: 34,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.20 : 57,619.80 = 22,666.80 : x
  2. Step 2: Convert to fraction form
    38,413.20/57,619.80 = 22,666.80/x
  3. Step 3: Cross multiply
    38,413.20x = 57,619.80 × 22,666.80
  4. Step 4: Simplify right side
    38,413.20x = 1,306,056,482.64
  5. Step 5: Solve for x
    x = 1,306,056,482.64/38,413.20
  6. Step 6: Final answer
    x = 34,000.20

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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.