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Finding the Fourth Proportional to 30,567.70, 42,180.51 and 17,135.88

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Solution

The fourth proportional to 30,567.70, 42,180.51 and 17,135.88 is: 23,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.70 : 42,180.51 = 17,135.88 : x
  2. Step 2: Convert to fraction form
    30,567.70/42,180.51 = 17,135.88/x
  3. Step 3: Cross multiply
    30,567.70x = 42,180.51 × 17,135.88
  4. Step 4: Simplify right side
    30,567.70x = 722,800,157.70
  5. Step 5: Solve for x
    x = 722,800,157.70/30,567.70
  6. Step 6: Final answer
    x = 23,645.88

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