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Finding the Fourth Proportional to 46,162.50, 69,216.04 and 21,171.24

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Solution

The fourth proportional to 46,162.50, 69,216.04 and 21,171.24 is: 31,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,162.50 : 69,216.04 = 21,171.24 : x
  2. Step 2: Convert to fraction form
    46,162.50/69,216.04 = 21,171.24/x
  3. Step 3: Cross multiply
    46,162.50x = 69,216.04 × 21,171.24
  4. Step 4: Simplify right side
    46,162.50x = 1,465,389,394.69
  5. Step 5: Solve for x
    x = 1,465,389,394.69/46,162.50
  6. Step 6: Final answer
    x = 31,744.15

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Why These Related Problems?

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