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Finding the Fourth Proportional to 31,533.99, 47,320.83 and 12,814.49

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Solution

The fourth proportional to 31,533.99, 47,320.83 and 12,814.49 is: 19,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.99 : 47,320.83 = 12,814.49 : x
  2. Step 2: Convert to fraction form
    31,533.99/47,320.83 = 12,814.49/x
  3. Step 3: Cross multiply
    31,533.99x = 47,320.83 × 12,814.49
  4. Step 4: Simplify right side
    31,533.99x = 606,392,066.22
  5. Step 5: Solve for x
    x = 606,392,066.22/31,533.99
  6. Step 6: Final answer
    x = 19,229.79

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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.