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Finding the Fourth Proportional to 30,509.96, 42,074.17 and 23,793.14

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Solution

The fourth proportional to 30,509.96, 42,074.17 and 23,793.14 is: 32,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.96 : 42,074.17 = 23,793.14 : x
  2. Step 2: Convert to fraction form
    30,509.96/42,074.17 = 23,793.14/x
  3. Step 3: Cross multiply
    30,509.96x = 42,074.17 × 23,793.14
  4. Step 4: Simplify right side
    30,509.96x = 1,001,076,662.90
  5. Step 5: Solve for x
    x = 1,001,076,662.90/30,509.96
  6. Step 6: Final answer
    x = 32,811.48

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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.