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Finding the Fourth Proportional to 58,586.68, 80,849.64 and 31,729.42

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Solution

The fourth proportional to 58,586.68, 80,849.64 and 31,729.42 is: 43,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,586.68 : 80,849.64 = 31,729.42 : x
  2. Step 2: Convert to fraction form
    58,586.68/80,849.64 = 31,729.42/x
  3. Step 3: Cross multiply
    58,586.68x = 80,849.64 × 31,729.42
  4. Step 4: Simplify right side
    58,586.68x = 2,565,312,184.41
  5. Step 5: Solve for x
    x = 2,565,312,184.41/58,586.68
  6. Step 6: Final answer
    x = 43,786.61

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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.