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Finding the Fourth Proportional to 23,033.68, 34,505.16 and 21,413.68

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Solution

The fourth proportional to 23,033.68, 34,505.16 and 21,413.68 is: 32,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.68 : 34,505.16 = 21,413.68 : x
  2. Step 2: Convert to fraction form
    23,033.68/34,505.16 = 21,413.68/x
  3. Step 3: Cross multiply
    23,033.68x = 34,505.16 × 21,413.68
  4. Step 4: Simplify right side
    23,033.68x = 738,882,454.59
  5. Step 5: Solve for x
    x = 738,882,454.59/23,033.68
  6. Step 6: Final answer
    x = 32,078.35

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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.