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Finding the Fourth Proportional to 33,054, 49,571.28 and 9,674.88

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Solution

The fourth proportional to 33,054, 49,571.28 and 9,674.88 is: 14,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054 : 49,571.28 = 9,674.88 : x
  2. Step 2: Convert to fraction form
    33,054/49,571.28 = 9,674.88/x
  3. Step 3: Cross multiply
    33,054x = 49,571.28 × 9,674.88
  4. Step 4: Simplify right side
    33,054x = 479,596,185.45
  5. Step 5: Solve for x
    x = 479,596,185.45/33,054
  6. Step 6: Final answer
    x = 14,509.47

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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.