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Finding the Fourth Proportional to 32,914.80, 49,369.12 and 9,224.48

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Solution

The fourth proportional to 32,914.80, 49,369.12 and 9,224.48 is: 13,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.80 : 49,369.12 = 9,224.48 : x
  2. Step 2: Convert to fraction form
    32,914.80/49,369.12 = 9,224.48/x
  3. Step 3: Cross multiply
    32,914.80x = 49,369.12 × 9,224.48
  4. Step 4: Simplify right side
    32,914.80x = 455,404,460.06
  5. Step 5: Solve for x
    x = 455,404,460.06/32,914.80
  6. Step 6: Final answer
    x = 13,835.86

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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.