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Finding the Fourth Proportional to 31,132.98, 46,696.01 and 11,141.67

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Solution

The fourth proportional to 31,132.98, 46,696.01 and 11,141.67 is: 16,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.98 : 46,696.01 = 11,141.67 : x
  2. Step 2: Convert to fraction form
    31,132.98/46,696.01 = 11,141.67/x
  3. Step 3: Cross multiply
    31,132.98x = 46,696.01 × 11,141.67
  4. Step 4: Simplify right side
    31,132.98x = 520,271,533.74
  5. Step 5: Solve for x
    x = 520,271,533.74/31,132.98
  6. Step 6: Final answer
    x = 16,711.27

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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.