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Finding the Fourth Proportional to 34,296.62, 51,446.02 and 11,807.06

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Solution

The fourth proportional to 34,296.62, 51,446.02 and 11,807.06 is: 17,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296.62 : 51,446.02 = 11,807.06 : x
  2. Step 2: Convert to fraction form
    34,296.62/51,446.02 = 11,807.06/x
  3. Step 3: Cross multiply
    34,296.62x = 51,446.02 × 11,807.06
  4. Step 4: Simplify right side
    34,296.62x = 607,426,244.90
  5. Step 5: Solve for x
    x = 607,426,244.90/34,296.62
  6. Step 6: Final answer
    x = 17,710.97

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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.