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Finding the Fourth Proportional to 77,390.36, 116,093.90 and 33,021.80

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Solution

The fourth proportional to 77,390.36, 116,093.90 and 33,021.80 is: 49,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,390.36 : 116,093.90 = 33,021.80 : x
  2. Step 2: Convert to fraction form
    77,390.36/116,093.90 = 33,021.80/x
  3. Step 3: Cross multiply
    77,390.36x = 116,093.90 × 33,021.80
  4. Step 4: Simplify right side
    77,390.36x = 3,833,629,547.02
  5. Step 5: Solve for x
    x = 3,833,629,547.02/77,390.36
  6. Step 6: Final answer
    x = 49,536.27

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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.