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Finding the Fourth Proportional to 30,083.40, 41,514.84 and 16,835.40

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Solution

The fourth proportional to 30,083.40, 41,514.84 and 16,835.40 is: 23,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.40 : 41,514.84 = 16,835.40 : x
  2. Step 2: Convert to fraction form
    30,083.40/41,514.84 = 16,835.40/x
  3. Step 3: Cross multiply
    30,083.40x = 41,514.84 × 16,835.40
  4. Step 4: Simplify right side
    30,083.40x = 698,918,937.34
  5. Step 5: Solve for x
    x = 698,918,937.34/30,083.40
  6. Step 6: Final answer
    x = 23,232.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.