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Finding the Fourth Proportional to 32,918.49, 49,368.87 and 9,224.64

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Solution

The fourth proportional to 32,918.49, 49,368.87 and 9,224.64 is: 13,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918.49 : 49,368.87 = 9,224.64 : x
  2. Step 2: Convert to fraction form
    32,918.49/49,368.87 = 9,224.64/x
  3. Step 3: Cross multiply
    32,918.49x = 49,368.87 × 9,224.64
  4. Step 4: Simplify right side
    32,918.49x = 455,410,052.96
  5. Step 5: Solve for x
    x = 455,410,052.96/32,918.49
  6. Step 6: Final answer
    x = 13,834.48

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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.