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Finding the Fourth Proportional to 58,575.86, 80,834.32 and 31,717.80

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Solution

The fourth proportional to 58,575.86, 80,834.32 and 31,717.80 is: 43,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,575.86 : 80,834.32 = 31,717.80 : x
  2. Step 2: Convert to fraction form
    58,575.86/80,834.32 = 31,717.80/x
  3. Step 3: Cross multiply
    58,575.86x = 80,834.32 × 31,717.80
  4. Step 4: Simplify right side
    58,575.86x = 2,563,886,794.90
  5. Step 5: Solve for x
    x = 2,563,886,794.90/58,575.86
  6. Step 6: Final answer
    x = 43,770.37

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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.