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Finding the Fourth Proportional to 30,783.72, 42,478.98 and 17,358.27

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Solution

The fourth proportional to 30,783.72, 42,478.98 and 17,358.27 is: 23,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.72 : 42,478.98 = 17,358.27 : x
  2. Step 2: Convert to fraction form
    30,783.72/42,478.98 = 17,358.27/x
  3. Step 3: Cross multiply
    30,783.72x = 42,478.98 × 17,358.27
  4. Step 4: Simplify right side
    30,783.72x = 737,361,604.16
  5. Step 5: Solve for x
    x = 737,361,604.16/30,783.72
  6. Step 6: Final answer
    x = 23,952.97

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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.