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Finding the Fourth Proportional to 34,900, 52,366.80 and 17,371.36

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Solution

The fourth proportional to 34,900, 52,366.80 and 17,371.36 is: 26,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,900 : 52,366.80 = 17,371.36 : x
  2. Step 2: Convert to fraction form
    34,900/52,366.80 = 17,371.36/x
  3. Step 3: Cross multiply
    34,900x = 52,366.80 × 17,371.36
  4. Step 4: Simplify right side
    34,900x = 909,682,534.85
  5. Step 5: Solve for x
    x = 909,682,534.85/34,900
  6. Step 6: Final answer
    x = 26,065.40

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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.