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Finding the Fourth Proportional to 36,546.49, 50,434.14 and 19,779.49

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Solution

The fourth proportional to 36,546.49, 50,434.14 and 19,779.49 is: 27,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.49 : 50,434.14 = 19,779.49 : x
  2. Step 2: Convert to fraction form
    36,546.49/50,434.14 = 19,779.49/x
  3. Step 3: Cross multiply
    36,546.49x = 50,434.14 × 19,779.49
  4. Step 4: Simplify right side
    36,546.49x = 997,561,543.06
  5. Step 5: Solve for x
    x = 997,561,543.06/36,546.49
  6. Step 6: Final answer
    x = 27,295.69

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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.