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Finding the Fourth Proportional to 41,241.42, 61,807.05 and 21,478.54

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Solution

The fourth proportional to 41,241.42, 61,807.05 and 21,478.54 is: 32,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241.42 : 61,807.05 = 21,478.54 : x
  2. Step 2: Convert to fraction form
    41,241.42/61,807.05 = 21,478.54/x
  3. Step 3: Cross multiply
    41,241.42x = 61,807.05 × 21,478.54
  4. Step 4: Simplify right side
    41,241.42x = 1,327,525,195.71
  5. Step 5: Solve for x
    x = 1,327,525,195.71/41,241.42
  6. Step 6: Final answer
    x = 32,189.12

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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.