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Finding the Fourth Proportional to 30,759.39, 46,135.44 and 9,982.89

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Solution

The fourth proportional to 30,759.39, 46,135.44 and 9,982.89 is: 14,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.39 : 46,135.44 = 9,982.89 : x
  2. Step 2: Convert to fraction form
    30,759.39/46,135.44 = 9,982.89/x
  3. Step 3: Cross multiply
    30,759.39x = 46,135.44 × 9,982.89
  4. Step 4: Simplify right side
    30,759.39x = 460,565,022.62
  5. Step 5: Solve for x
    x = 460,565,022.62/30,759.39
  6. Step 6: Final answer
    x = 14,973.15

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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.