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Finding the Fourth Proportional to 31,277.72, 46,910.98 and 15,477.66

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Solution

The fourth proportional to 31,277.72, 46,910.98 and 15,477.66 is: 23,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.72 : 46,910.98 = 15,477.66 : x
  2. Step 2: Convert to fraction form
    31,277.72/46,910.98 = 15,477.66/x
  3. Step 3: Cross multiply
    31,277.72x = 46,910.98 × 15,477.66
  4. Step 4: Simplify right side
    31,277.72x = 726,072,198.71
  5. Step 5: Solve for x
    x = 726,072,198.71/31,277.72
  6. Step 6: Final answer
    x = 23,213.72

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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.