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Finding the Fourth Proportional to 93,364.56, 140,001.36 and 31,014

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Solution

The fourth proportional to 93,364.56, 140,001.36 and 31,014 is: 46,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,364.56 : 140,001.36 = 31,014 : x
  2. Step 2: Convert to fraction form
    93,364.56/140,001.36 = 31,014/x
  3. Step 3: Cross multiply
    93,364.56x = 140,001.36 × 31,014
  4. Step 4: Simplify right side
    93,364.56x = 4,342,002,179.04
  5. Step 5: Solve for x
    x = 4,342,002,179.04/93,364.56
  6. Step 6: Final answer
    x = 46,505.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.