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Finding the Fourth Proportional to 30,609.40, 45,914.10 and 20,111.80

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Solution

The fourth proportional to 30,609.40, 45,914.10 and 20,111.80 is: 30,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.40 : 45,914.10 = 20,111.80 : x
  2. Step 2: Convert to fraction form
    30,609.40/45,914.10 = 20,111.80/x
  3. Step 3: Cross multiply
    30,609.40x = 45,914.10 × 20,111.80
  4. Step 4: Simplify right side
    30,609.40x = 923,415,196.38
  5. Step 5: Solve for x
    x = 923,415,196.38/30,609.40
  6. Step 6: Final answer
    x = 30,167.70

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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.