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Finding the Fourth Proportional to 30,567.54, 42,182.82 and 17,138.78

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Solution

The fourth proportional to 30,567.54, 42,182.82 and 17,138.78 is: 23,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.54 : 42,182.82 = 17,138.78 : x
  2. Step 2: Convert to fraction form
    30,567.54/42,182.82 = 17,138.78/x
  3. Step 3: Cross multiply
    30,567.54x = 42,182.82 × 17,138.78
  4. Step 4: Simplify right side
    30,567.54x = 722,962,071.76
  5. Step 5: Solve for x
    x = 722,962,071.76/30,567.54
  6. Step 6: Final answer
    x = 23,651.30

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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.