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Finding the Fourth Proportional to 34,463.17, 51,693.54 and 11,089

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Solution

The fourth proportional to 34,463.17, 51,693.54 and 11,089 is: 16,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.17 : 51,693.54 = 11,089 : x
  2. Step 2: Convert to fraction form
    34,463.17/51,693.54 = 11,089/x
  3. Step 3: Cross multiply
    34,463.17x = 51,693.54 × 11,089
  4. Step 4: Simplify right side
    34,463.17x = 573,229,665.06
  5. Step 5: Solve for x
    x = 573,229,665.06/34,463.17
  6. Step 6: Final answer
    x = 16,633.11

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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.