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Finding the Fourth Proportional to 31,075, 46,605.96 and 10,016.96

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Solution

The fourth proportional to 31,075, 46,605.96 and 10,016.96 is: 15,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075 : 46,605.96 = 10,016.96 : x
  2. Step 2: Convert to fraction form
    31,075/46,605.96 = 10,016.96/x
  3. Step 3: Cross multiply
    31,075x = 46,605.96 × 10,016.96
  4. Step 4: Simplify right side
    31,075x = 466,850,037.08
  5. Step 5: Solve for x
    x = 466,850,037.08/31,075
  6. Step 6: Final answer
    x = 15,023.33

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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.