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Finding the Fourth Proportional to 30,782.92, 42,477.18 and 17,353.84

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Solution

The fourth proportional to 30,782.92, 42,477.18 and 17,353.84 is: 23,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.92 : 42,477.18 = 17,353.84 : x
  2. Step 2: Convert to fraction form
    30,782.92/42,477.18 = 17,353.84/x
  3. Step 3: Cross multiply
    30,782.92x = 42,477.18 × 17,353.84
  4. Step 4: Simplify right side
    30,782.92x = 737,142,185.37
  5. Step 5: Solve for x
    x = 737,142,185.37/30,782.92
  6. Step 6: Final answer
    x = 23,946.47

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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.