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Finding the Fourth Proportional to 30,599.99, 45,899.43 and 8,413.28

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Solution

The fourth proportional to 30,599.99, 45,899.43 and 8,413.28 is: 12,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599.99 : 45,899.43 = 8,413.28 : x
  2. Step 2: Convert to fraction form
    30,599.99/45,899.43 = 8,413.28/x
  3. Step 3: Cross multiply
    30,599.99x = 45,899.43 × 8,413.28
  4. Step 4: Simplify right side
    30,599.99x = 386,164,756.43
  5. Step 5: Solve for x
    x = 386,164,756.43/30,599.99
  6. Step 6: Final answer
    x = 12,619.77

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1.5x scale

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.