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Finding the Fourth Proportional to 30,413.12, 45,619.68 and 9,635

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Solution

The fourth proportional to 30,413.12, 45,619.68 and 9,635 is: 14,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.12 : 45,619.68 = 9,635 : x
  2. Step 2: Convert to fraction form
    30,413.12/45,619.68 = 9,635/x
  3. Step 3: Cross multiply
    30,413.12x = 45,619.68 × 9,635
  4. Step 4: Simplify right side
    30,413.12x = 439,545,616.80
  5. Step 5: Solve for x
    x = 439,545,616.80/30,413.12
  6. Step 6: Final answer
    x = 14,452.50

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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.