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Finding the Fourth Proportional to 30,735.91, 42,415.15 and 17,308.49

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Solution

The fourth proportional to 30,735.91, 42,415.15 and 17,308.49 is: 23,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.91 : 42,415.15 = 17,308.49 : x
  2. Step 2: Convert to fraction form
    30,735.91/42,415.15 = 17,308.49/x
  3. Step 3: Cross multiply
    30,735.91x = 42,415.15 × 17,308.49
  4. Step 4: Simplify right side
    30,735.91x = 734,142,199.62
  5. Step 5: Solve for x
    x = 734,142,199.62/30,735.91
  6. Step 6: Final answer
    x = 23,885.49

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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.