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Finding the Fourth Proportional to 30,736.64, 42,415.42 and 17,124.36

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Solution

The fourth proportional to 30,736.64, 42,415.42 and 17,124.36 is: 23,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.64 : 42,415.42 = 17,124.36 : x
  2. Step 2: Convert to fraction form
    30,736.64/42,415.42 = 17,124.36/x
  3. Step 3: Cross multiply
    30,736.64x = 42,415.42 × 17,124.36
  4. Step 4: Simplify right side
    30,736.64x = 726,337,038.62
  5. Step 5: Solve for x
    x = 726,337,038.62/30,736.64
  6. Step 6: Final answer
    x = 23,630.98

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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.