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Finding the Fourth Proportional to 34,585.62, 51,882.03 and 13,238.31

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Solution

The fourth proportional to 34,585.62, 51,882.03 and 13,238.31 is: 19,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,585.62 : 51,882.03 = 13,238.31 : x
  2. Step 2: Convert to fraction form
    34,585.62/51,882.03 = 13,238.31/x
  3. Step 3: Cross multiply
    34,585.62x = 51,882.03 × 13,238.31
  4. Step 4: Simplify right side
    34,585.62x = 686,830,396.57
  5. Step 5: Solve for x
    x = 686,830,396.57/34,585.62
  6. Step 6: Final answer
    x = 19,858.84

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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.