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Finding the Fourth Proportional to 41,438.40, 57,165.40 and 28,014.36

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Solution

The fourth proportional to 41,438.40, 57,165.40 and 28,014.36 is: 38,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,438.40 : 57,165.40 = 28,014.36 : x
  2. Step 2: Convert to fraction form
    41,438.40/57,165.40 = 28,014.36/x
  3. Step 3: Cross multiply
    41,438.40x = 57,165.40 × 28,014.36
  4. Step 4: Simplify right side
    41,438.40x = 1,601,452,095.14
  5. Step 5: Solve for x
    x = 1,601,452,095.14/41,438.40
  6. Step 6: Final answer
    x = 38,646.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.