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Finding the Fourth Proportional to 77,954.20, 116,931.22 and 28,034.44

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Solution

The fourth proportional to 77,954.20, 116,931.22 and 28,034.44 is: 42,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954.20 : 116,931.22 = 28,034.44 : x
  2. Step 2: Convert to fraction form
    77,954.20/116,931.22 = 28,034.44/x
  3. Step 3: Cross multiply
    77,954.20x = 116,931.22 × 28,034.44
  4. Step 4: Simplify right side
    77,954.20x = 3,278,101,271.22
  5. Step 5: Solve for x
    x = 3,278,101,271.22/77,954.20
  6. Step 6: Final answer
    x = 42,051.63

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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.