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Finding the Fourth Proportional to 30,459.12, 42,034.50 and 16,847.34

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Solution

The fourth proportional to 30,459.12, 42,034.50 and 16,847.34 is: 23,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.12 : 42,034.50 = 16,847.34 : x
  2. Step 2: Convert to fraction form
    30,459.12/42,034.50 = 16,847.34/x
  3. Step 3: Cross multiply
    30,459.12x = 42,034.50 × 16,847.34
  4. Step 4: Simplify right side
    30,459.12x = 708,169,513.23
  5. Step 5: Solve for x
    x = 708,169,513.23/30,459.12
  6. Step 6: Final answer
    x = 23,249.83

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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.