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Finding the Fourth Proportional to 93,715, 140,591.94 and 38,311

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Solution

The fourth proportional to 93,715, 140,591.94 and 38,311 is: 57,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,715 : 140,591.94 = 38,311 : x
  2. Step 2: Convert to fraction form
    93,715/140,591.94 = 38,311/x
  3. Step 3: Cross multiply
    93,715x = 140,591.94 × 38,311
  4. Step 4: Simplify right side
    93,715x = 5,386,217,813.34
  5. Step 5: Solve for x
    x = 5,386,217,813.34/93,715
  6. Step 6: Final answer
    x = 57,474.45

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Why These Related Problems?

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