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Finding the Fourth Proportional to 34,598.90, 51,898.34 and 24,757.40

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Solution

The fourth proportional to 34,598.90, 51,898.34 and 24,757.40 is: 37,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,598.90 : 51,898.34 = 24,757.40 : x
  2. Step 2: Convert to fraction form
    34,598.90/51,898.34 = 24,757.40/x
  3. Step 3: Cross multiply
    34,598.90x = 51,898.34 × 24,757.40
  4. Step 4: Simplify right side
    34,598.90x = 1,284,867,579.44
  5. Step 5: Solve for x
    x = 1,284,867,579.44/34,598.90
  6. Step 6: Final answer
    x = 37,136.09

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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.