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Finding the Fourth Proportional to 35,415.50, 53,052.02 and 16,413.52

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Solution

The fourth proportional to 35,415.50, 53,052.02 and 16,413.52 is: 24,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.50 : 53,052.02 = 16,413.52 : x
  2. Step 2: Convert to fraction form
    35,415.50/53,052.02 = 16,413.52/x
  3. Step 3: Cross multiply
    35,415.50x = 53,052.02 × 16,413.52
  4. Step 4: Simplify right side
    35,415.50x = 870,770,391.31
  5. Step 5: Solve for x
    x = 870,770,391.31/35,415.50
  6. Step 6: Final answer
    x = 24,587.27

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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.