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Finding the Fourth Proportional to 76,419, 105,467.94 and 42,885

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Solution

The fourth proportional to 76,419, 105,467.94 and 42,885 is: 59,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419 : 105,467.94 = 42,885 : x
  2. Step 2: Convert to fraction form
    76,419/105,467.94 = 42,885/x
  3. Step 3: Cross multiply
    76,419x = 105,467.94 × 42,885
  4. Step 4: Simplify right side
    76,419x = 4,522,992,606.90
  5. Step 5: Solve for x
    x = 4,522,992,606.90/76,419
  6. Step 6: Final answer
    x = 59,186.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.