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Finding the Fourth Proportional to 31,346.67, 46,989.77 and 10,558.83

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Solution

The fourth proportional to 31,346.67, 46,989.77 and 10,558.83 is: 15,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346.67 : 46,989.77 = 10,558.83 : x
  2. Step 2: Convert to fraction form
    31,346.67/46,989.77 = 10,558.83/x
  3. Step 3: Cross multiply
    31,346.67x = 46,989.77 × 10,558.83
  4. Step 4: Simplify right side
    31,346.67x = 496,156,940.37
  5. Step 5: Solve for x
    x = 496,156,940.37/31,346.67
  6. Step 6: Final answer
    x = 15,828.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.