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Finding the Fourth Proportional to 32,715.36, 49,072.01 and 9,341.78

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Solution

The fourth proportional to 32,715.36, 49,072.01 and 9,341.78 is: 14,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.36 : 49,072.01 = 9,341.78 : x
  2. Step 2: Convert to fraction form
    32,715.36/49,072.01 = 9,341.78/x
  3. Step 3: Cross multiply
    32,715.36x = 49,072.01 × 9,341.78
  4. Step 4: Simplify right side
    32,715.36x = 458,419,629.51
  5. Step 5: Solve for x
    x = 458,419,629.51/32,715.36
  6. Step 6: Final answer
    x = 14,012.37

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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.