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Finding the Fourth Proportional to 33,133.99, 49,662.98 and 16,456.75

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Solution

The fourth proportional to 33,133.99, 49,662.98 and 16,456.75 is: 24,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.99 : 49,662.98 = 16,456.75 : x
  2. Step 2: Convert to fraction form
    33,133.99/49,662.98 = 16,456.75/x
  3. Step 3: Cross multiply
    33,133.99x = 49,662.98 × 16,456.75
  4. Step 4: Simplify right side
    33,133.99x = 817,291,246.12
  5. Step 5: Solve for x
    x = 817,291,246.12/33,133.99
  6. Step 6: Final answer
    x = 24,666.25

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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.