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Finding the Fourth Proportional to 58,509.43, 80,742.94 and 31,651.88

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Solution

The fourth proportional to 58,509.43, 80,742.94 and 31,651.88 is: 43,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,509.43 : 80,742.94 = 31,651.88 : x
  2. Step 2: Convert to fraction form
    58,509.43/80,742.94 = 31,651.88/x
  3. Step 3: Cross multiply
    58,509.43x = 80,742.94 × 31,651.88
  4. Step 4: Simplify right side
    58,509.43x = 2,555,665,364.88
  5. Step 5: Solve for x
    x = 2,555,665,364.88/58,509.43
  6. Step 6: Final answer
    x = 43,679.55

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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.