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Finding the Fourth Proportional to 33,273.72, 49,913.02 and 9,580.31

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Solution

The fourth proportional to 33,273.72, 49,913.02 and 9,580.31 is: 14,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273.72 : 49,913.02 = 9,580.31 : x
  2. Step 2: Convert to fraction form
    33,273.72/49,913.02 = 9,580.31/x
  3. Step 3: Cross multiply
    33,273.72x = 49,913.02 × 9,580.31
  4. Step 4: Simplify right side
    33,273.72x = 478,181,931.12
  5. Step 5: Solve for x
    x = 478,181,931.12/33,273.72
  6. Step 6: Final answer
    x = 14,371.16

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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.