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Finding the Fourth Proportional to 77,072.60, 106,351.62 and 43,538.60

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Solution

The fourth proportional to 77,072.60, 106,351.62 and 43,538.60 is: 60,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072.60 : 106,351.62 = 43,538.60 : x
  2. Step 2: Convert to fraction form
    77,072.60/106,351.62 = 43,538.60/x
  3. Step 3: Cross multiply
    77,072.60x = 106,351.62 × 43,538.60
  4. Step 4: Simplify right side
    77,072.60x = 4,630,400,110.77
  5. Step 5: Solve for x
    x = 4,630,400,110.77/77,072.60
  6. Step 6: Final answer
    x = 60,078.42

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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.