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Finding the Fourth Proportional to 74,096, 102,252.48 and 40,562

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Solution

The fourth proportional to 74,096, 102,252.48 and 40,562 is: 55,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 102,252.48 = 40,562 : x
  2. Step 2: Convert to fraction form
    74,096/102,252.48 = 40,562/x
  3. Step 3: Cross multiply
    74,096x = 102,252.48 × 40,562
  4. Step 4: Simplify right side
    74,096x = 4,147,565,093.76
  5. Step 5: Solve for x
    x = 4,147,565,093.76/74,096
  6. Step 6: Final answer
    x = 55,975.56

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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.