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Finding the Fourth Proportional to 34,073.19, 51,095.19 and 11,880

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Solution

The fourth proportional to 34,073.19, 51,095.19 and 11,880 is: 17,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073.19 : 51,095.19 = 11,880 : x
  2. Step 2: Convert to fraction form
    34,073.19/51,095.19 = 11,880/x
  3. Step 3: Cross multiply
    34,073.19x = 51,095.19 × 11,880
  4. Step 4: Simplify right side
    34,073.19x = 607,010,857.20
  5. Step 5: Solve for x
    x = 607,010,857.20/34,073.19
  6. Step 6: Final answer
    x = 17,814.91

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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.