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Finding the Fourth Proportional to 34,297.65, 51,452.19 and 11,807.46

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Solution

The fourth proportional to 34,297.65, 51,452.19 and 11,807.46 is: 17,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297.65 : 51,452.19 = 11,807.46 : x
  2. Step 2: Convert to fraction form
    34,297.65/51,452.19 = 11,807.46/x
  3. Step 3: Cross multiply
    34,297.65x = 51,452.19 × 11,807.46
  4. Step 4: Simplify right side
    34,297.65x = 607,519,675.34
  5. Step 5: Solve for x
    x = 607,519,675.34/34,297.65
  6. Step 6: Final answer
    x = 17,713.16

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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.