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Finding the Fourth Proportional to 58,506.68, 80,739.24 and 31,649.18

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Solution

The fourth proportional to 58,506.68, 80,739.24 and 31,649.18 is: 43,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506.68 : 80,739.24 = 31,649.18 : x
  2. Step 2: Convert to fraction form
    58,506.68/80,739.24 = 31,649.18/x
  3. Step 3: Cross multiply
    58,506.68x = 80,739.24 × 31,649.18
  4. Step 4: Simplify right side
    58,506.68x = 2,555,330,739.82
  5. Step 5: Solve for x
    x = 2,555,330,739.82/58,506.68
  6. Step 6: Final answer
    x = 43,675.88

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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.