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Finding the Fourth Proportional to 51,215.99, 70,682.71 and 31,077.98

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Solution

The fourth proportional to 51,215.99, 70,682.71 and 31,077.98 is: 42,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,215.99 : 70,682.71 = 31,077.98 : x
  2. Step 2: Convert to fraction form
    51,215.99/70,682.71 = 31,077.98/x
  3. Step 3: Cross multiply
    51,215.99x = 70,682.71 × 31,077.98
  4. Step 4: Simplify right side
    51,215.99x = 2,196,675,494.31
  5. Step 5: Solve for x
    x = 2,196,675,494.31/51,215.99
  6. Step 6: Final answer
    x = 42,890.42

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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.