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Finding the Fourth Proportional to 97,684.01, 146,425.52 and 44,413.04

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Solution

The fourth proportional to 97,684.01, 146,425.52 and 44,413.04 is: 66,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,684.01 : 146,425.52 = 44,413.04 : x
  2. Step 2: Convert to fraction form
    97,684.01/146,425.52 = 44,413.04/x
  3. Step 3: Cross multiply
    97,684.01x = 146,425.52 × 44,413.04
  4. Step 4: Simplify right side
    97,684.01x = 6,503,201,522.59
  5. Step 5: Solve for x
    x = 6,503,201,522.59/97,684.01
  6. Step 6: Final answer
    x = 66,573.86

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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.