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Finding the Fourth Proportional to 33,164.24, 49,731 and 10,973.52

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Solution

The fourth proportional to 33,164.24, 49,731 and 10,973.52 is: 16,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.24 : 49,731 = 10,973.52 : x
  2. Step 2: Convert to fraction form
    33,164.24/49,731 = 10,973.52/x
  3. Step 3: Cross multiply
    33,164.24x = 49,731 × 10,973.52
  4. Step 4: Simplify right side
    33,164.24x = 545,724,123.12
  5. Step 5: Solve for x
    x = 545,724,123.12/33,164.24
  6. Step 6: Final answer
    x = 16,455.20

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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.