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Finding the Fourth Proportional to 31,506.50, 43,477.57 and 17,166.38

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Solution

The fourth proportional to 31,506.50, 43,477.57 and 17,166.38 is: 23,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.50 : 43,477.57 = 17,166.38 : x
  2. Step 2: Convert to fraction form
    31,506.50/43,477.57 = 17,166.38/x
  3. Step 3: Cross multiply
    31,506.50x = 43,477.57 × 17,166.38
  4. Step 4: Simplify right side
    31,506.50x = 746,352,488.10
  5. Step 5: Solve for x
    x = 746,352,488.10/31,506.50
  6. Step 6: Final answer
    x = 23,688.84

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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.