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Finding the Fourth Proportional to 38,706.12, 53,413.32 and 22,801.44

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Solution

The fourth proportional to 38,706.12, 53,413.32 and 22,801.44 is: 31,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.12 : 53,413.32 = 22,801.44 : x
  2. Step 2: Convert to fraction form
    38,706.12/53,413.32 = 22,801.44/x
  3. Step 3: Cross multiply
    38,706.12x = 53,413.32 × 22,801.44
  4. Step 4: Simplify right side
    38,706.12x = 1,217,900,611.18
  5. Step 5: Solve for x
    x = 1,217,900,611.18/38,706.12
  6. Step 6: Final answer
    x = 31,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.