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Finding the Fourth Proportional to 74,602, 111,902.98 and 27,858.52

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Solution

The fourth proportional to 74,602, 111,902.98 and 27,858.52 is: 41,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602 : 111,902.98 = 27,858.52 : x
  2. Step 2: Convert to fraction form
    74,602/111,902.98 = 27,858.52/x
  3. Step 3: Cross multiply
    74,602x = 111,902.98 × 27,858.52
  4. Step 4: Simplify right side
    74,602x = 3,117,451,406.39
  5. Step 5: Solve for x
    x = 3,117,451,406.39/74,602
  6. Step 6: Final answer
    x = 41,787.77

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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.