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Finding the Fourth Proportional to 34,047.91, 51,119.72 and 17,419.87

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Solution

The fourth proportional to 34,047.91, 51,119.72 and 17,419.87 is: 26,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.91 : 51,119.72 = 17,419.87 : x
  2. Step 2: Convert to fraction form
    34,047.91/51,119.72 = 17,419.87/x
  3. Step 3: Cross multiply
    34,047.91x = 51,119.72 × 17,419.87
  4. Step 4: Simplify right side
    34,047.91x = 890,498,534.14
  5. Step 5: Solve for x
    x = 890,498,534.14/34,047.91
  6. Step 6: Final answer
    x = 26,154.28

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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.