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Finding the Fourth Proportional to 38,407.56, 57,591.66 and 17,613

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Solution

The fourth proportional to 38,407.56, 57,591.66 and 17,613 is: 26,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.56 : 57,591.66 = 17,613 : x
  2. Step 2: Convert to fraction form
    38,407.56/57,591.66 = 17,613/x
  3. Step 3: Cross multiply
    38,407.56x = 57,591.66 × 17,613
  4. Step 4: Simplify right side
    38,407.56x = 1,014,361,907.58
  5. Step 5: Solve for x
    x = 1,014,361,907.58/38,407.56
  6. Step 6: Final answer
    x = 26,410.48

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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.