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Finding the Fourth Proportional to 35,544.90, 53,318.43 and 12,171

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Solution

The fourth proportional to 35,544.90, 53,318.43 and 12,171 is: 18,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544.90 : 53,318.43 = 12,171 : x
  2. Step 2: Convert to fraction form
    35,544.90/53,318.43 = 12,171/x
  3. Step 3: Cross multiply
    35,544.90x = 53,318.43 × 12,171
  4. Step 4: Simplify right side
    35,544.90x = 648,938,611.53
  5. Step 5: Solve for x
    x = 648,938,611.53/35,544.90
  6. Step 6: Final answer
    x = 18,256.87

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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.