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Finding the Fourth Proportional to 30,881.52, 46,322.28 and 12,413.52

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Solution

The fourth proportional to 30,881.52, 46,322.28 and 12,413.52 is: 18,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.52 : 46,322.28 = 12,413.52 : x
  2. Step 2: Convert to fraction form
    30,881.52/46,322.28 = 12,413.52/x
  3. Step 3: Cross multiply
    30,881.52x = 46,322.28 × 12,413.52
  4. Step 4: Simplify right side
    30,881.52x = 575,022,549.23
  5. Step 5: Solve for x
    x = 575,022,549.23/30,881.52
  6. Step 6: Final answer
    x = 18,620.28

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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.