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Finding the Fourth Proportional to 60,078.24, 82,918.26 and 34,942.32

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Solution

The fourth proportional to 60,078.24, 82,918.26 and 34,942.32 is: 48,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078.24 : 82,918.26 = 34,942.32 : x
  2. Step 2: Convert to fraction form
    60,078.24/82,918.26 = 34,942.32/x
  3. Step 3: Cross multiply
    60,078.24x = 82,918.26 × 34,942.32
  4. Step 4: Simplify right side
    60,078.24x = 2,897,356,374.76
  5. Step 5: Solve for x
    x = 2,897,356,374.76/60,078.24
  6. Step 6: Final answer
    x = 48,226.39

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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.