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Finding the Fourth Proportional to 30,771.66, 46,165.80 and 9,712.56

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Solution

The fourth proportional to 30,771.66, 46,165.80 and 9,712.56 is: 14,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.66 : 46,165.80 = 9,712.56 : x
  2. Step 2: Convert to fraction form
    30,771.66/46,165.80 = 9,712.56/x
  3. Step 3: Cross multiply
    30,771.66x = 46,165.80 × 9,712.56
  4. Step 4: Simplify right side
    30,771.66x = 448,388,102.45
  5. Step 5: Solve for x
    x = 448,388,102.45/30,771.66
  6. Step 6: Final answer
    x = 14,571.46

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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.