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Finding the Fourth Proportional to 36,369.69, 50,189.15 and 22,038

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Solution

The fourth proportional to 36,369.69, 50,189.15 and 22,038 is: 30,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,369.69 : 50,189.15 = 22,038 : x
  2. Step 2: Convert to fraction form
    36,369.69/50,189.15 = 22,038/x
  3. Step 3: Cross multiply
    36,369.69x = 50,189.15 × 22,038
  4. Step 4: Simplify right side
    36,369.69x = 1,106,068,377.51
  5. Step 5: Solve for x
    x = 1,106,068,377.51/36,369.69
  6. Step 6: Final answer
    x = 30,411.82

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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.