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Finding the Fourth Proportional to 20,032.50, 30,034.89 and 14,413.64

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Solution

The fourth proportional to 20,032.50, 30,034.89 and 14,413.64 is: 21,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.50 : 30,034.89 = 14,413.64 : x
  2. Step 2: Convert to fraction form
    20,032.50/30,034.89 = 14,413.64/x
  3. Step 3: Cross multiply
    20,032.50x = 30,034.89 × 14,413.64
  4. Step 4: Simplify right side
    20,032.50x = 432,911,941.73
  5. Step 5: Solve for x
    x = 432,911,941.73/20,032.50
  6. Step 6: Final answer
    x = 21,610.48

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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.