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Finding the Fourth Proportional to 58,576, 80,834.76 and 31,718.50

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Solution

The fourth proportional to 58,576, 80,834.76 and 31,718.50 is: 43,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,576 : 80,834.76 = 31,718.50 : x
  2. Step 2: Convert to fraction form
    58,576/80,834.76 = 31,718.50/x
  3. Step 3: Cross multiply
    58,576x = 80,834.76 × 31,718.50
  4. Step 4: Simplify right side
    58,576x = 2,563,957,335.06
  5. Step 5: Solve for x
    x = 2,563,957,335.06/58,576
  6. Step 6: Final answer
    x = 43,771.47

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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.