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Finding the Fourth Proportional to 30,706.85, 46,026.45 and 11,983.43

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Solution

The fourth proportional to 30,706.85, 46,026.45 and 11,983.43 is: 17,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.85 : 46,026.45 = 11,983.43 : x
  2. Step 2: Convert to fraction form
    30,706.85/46,026.45 = 11,983.43/x
  3. Step 3: Cross multiply
    30,706.85x = 46,026.45 × 11,983.43
  4. Step 4: Simplify right side
    30,706.85x = 551,554,741.72
  5. Step 5: Solve for x
    x = 551,554,741.72/30,706.85
  6. Step 6: Final answer
    x = 17,961.94

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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.