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Finding the Fourth Proportional to 51,592, 71,196.96 and 30,384.31

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Solution

The fourth proportional to 51,592, 71,196.96 and 30,384.31 is: 41,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592 : 71,196.96 = 30,384.31 : x
  2. Step 2: Convert to fraction form
    51,592/71,196.96 = 30,384.31/x
  3. Step 3: Cross multiply
    51,592x = 71,196.96 × 30,384.31
  4. Step 4: Simplify right side
    51,592x = 2,163,270,503.70
  5. Step 5: Solve for x
    x = 2,163,270,503.70/51,592
  6. Step 6: Final answer
    x = 41,930.35

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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.