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Finding the Fourth Proportional to 31,384.86, 43,298.57 and 20,051.42

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Solution

The fourth proportional to 31,384.86, 43,298.57 and 20,051.42 is: 27,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.86 : 43,298.57 = 20,051.42 : x
  2. Step 2: Convert to fraction form
    31,384.86/43,298.57 = 20,051.42/x
  3. Step 3: Cross multiply
    31,384.86x = 43,298.57 × 20,051.42
  4. Step 4: Simplify right side
    31,384.86x = 868,197,495.72
  5. Step 5: Solve for x
    x = 868,197,495.72/31,384.86
  6. Step 6: Final answer
    x = 27,662.94

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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.