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Finding the Fourth Proportional to 30,776.24, 46,163.54 and 9,715.43

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Solution

The fourth proportional to 30,776.24, 46,163.54 and 9,715.43 is: 14,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.24 : 46,163.54 = 9,715.43 : x
  2. Step 2: Convert to fraction form
    30,776.24/46,163.54 = 9,715.43/x
  3. Step 3: Cross multiply
    30,776.24x = 46,163.54 × 9,715.43
  4. Step 4: Simplify right side
    30,776.24x = 448,498,362.03
  5. Step 5: Solve for x
    x = 448,498,362.03/30,776.24
  6. Step 6: Final answer
    x = 14,572.88

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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.