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Finding the Fourth Proportional to 30,947.46, 46,413.71 and 14,291.48

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Solution

The fourth proportional to 30,947.46, 46,413.71 and 14,291.48 is: 21,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.46 : 46,413.71 = 14,291.48 : x
  2. Step 2: Convert to fraction form
    30,947.46/46,413.71 = 14,291.48/x
  3. Step 3: Cross multiply
    30,947.46x = 46,413.71 × 14,291.48
  4. Step 4: Simplify right side
    30,947.46x = 663,320,304.66
  5. Step 5: Solve for x
    x = 663,320,304.66/30,947.46
  6. Step 6: Final answer
    x = 21,433.76

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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.