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Finding the Fourth Proportional to 77,956.41, 116,923.83 and 28,029.33

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Solution

The fourth proportional to 77,956.41, 116,923.83 and 28,029.33 is: 42,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,956.41 : 116,923.83 = 28,029.33 : x
  2. Step 2: Convert to fraction form
    77,956.41/116,923.83 = 28,029.33/x
  3. Step 3: Cross multiply
    77,956.41x = 116,923.83 × 28,029.33
  4. Step 4: Simplify right side
    77,956.41x = 3,277,296,615.93
  5. Step 5: Solve for x
    x = 3,277,296,615.93/77,956.41
  6. Step 6: Final answer
    x = 42,040.12

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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.