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Finding the Fourth Proportional to 35,938.40, 49,590.44 and 20,021.68

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Solution

The fourth proportional to 35,938.40, 49,590.44 and 20,021.68 is: 27,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.40 : 49,590.44 = 20,021.68 : x
  2. Step 2: Convert to fraction form
    35,938.40/49,590.44 = 20,021.68/x
  3. Step 3: Cross multiply
    35,938.40x = 49,590.44 × 20,021.68
  4. Step 4: Simplify right side
    35,938.40x = 992,883,920.74
  5. Step 5: Solve for x
    x = 992,883,920.74/35,938.40
  6. Step 6: Final answer
    x = 27,627.38

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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.