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Finding the Fourth Proportional to 30,413.40, 45,605.52 and 15,614.70

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Solution

The fourth proportional to 30,413.40, 45,605.52 and 15,614.70 is: 23,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.40 : 45,605.52 = 15,614.70 : x
  2. Step 2: Convert to fraction form
    30,413.40/45,605.52 = 15,614.70/x
  3. Step 3: Cross multiply
    30,413.40x = 45,605.52 × 15,614.70
  4. Step 4: Simplify right side
    30,413.40x = 712,116,513.14
  5. Step 5: Solve for x
    x = 712,116,513.14/30,413.40
  6. Step 6: Final answer
    x = 23,414.56

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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.