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Finding the Fourth Proportional to 51,730.89, 71,388.69 and 29,374.89

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Solution

The fourth proportional to 51,730.89, 71,388.69 and 29,374.89 is: 40,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,730.89 : 71,388.69 = 29,374.89 : x
  2. Step 2: Convert to fraction form
    51,730.89/71,388.69 = 29,374.89/x
  3. Step 3: Cross multiply
    51,730.89x = 71,388.69 × 29,374.89
  4. Step 4: Simplify right side
    51,730.89x = 2,097,034,915.99
  5. Step 5: Solve for x
    x = 2,097,034,915.99/51,730.89
  6. Step 6: Final answer
    x = 40,537.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.