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Finding the Fourth Proportional to 30,950.34, 42,746.64 and 20,861.37

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Solution

The fourth proportional to 30,950.34, 42,746.64 and 20,861.37 is: 28,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.34 : 42,746.64 = 20,861.37 : x
  2. Step 2: Convert to fraction form
    30,950.34/42,746.64 = 20,861.37/x
  3. Step 3: Cross multiply
    30,950.34x = 42,746.64 × 20,861.37
  4. Step 4: Simplify right side
    30,950.34x = 891,753,473.30
  5. Step 5: Solve for x
    x = 891,753,473.30/30,950.34
  6. Step 6: Final answer
    x = 28,812.40

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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.