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Finding the Fourth Proportional to 76,182.36, 105,119.16 and 47,868

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Solution

The fourth proportional to 76,182.36, 105,119.16 and 47,868 is: 66,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182.36 : 105,119.16 = 47,868 : x
  2. Step 2: Convert to fraction form
    76,182.36/105,119.16 = 47,868/x
  3. Step 3: Cross multiply
    76,182.36x = 105,119.16 × 47,868
  4. Step 4: Simplify right side
    76,182.36x = 5,031,843,950.88
  5. Step 5: Solve for x
    x = 5,031,843,950.88/76,182.36
  6. Step 6: Final answer
    x = 66,049.99

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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.