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Finding the Fourth Proportional to 58,567.87, 80,823.56 and 31,710.38

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Solution

The fourth proportional to 58,567.87, 80,823.56 and 31,710.38 is: 43,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567.87 : 80,823.56 = 31,710.38 : x
  2. Step 2: Convert to fraction form
    58,567.87/80,823.56 = 31,710.38/x
  3. Step 3: Cross multiply
    58,567.87x = 80,823.56 × 31,710.38
  4. Step 4: Simplify right side
    58,567.87x = 2,562,945,237.88
  5. Step 5: Solve for x
    x = 2,562,945,237.88/58,567.87
  6. Step 6: Final answer
    x = 43,760.26

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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.