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Finding the Fourth Proportional to 34,819.20, 52,237.20 and 11,444.40

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Solution

The fourth proportional to 34,819.20, 52,237.20 and 11,444.40 is: 17,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.20 : 52,237.20 = 11,444.40 : x
  2. Step 2: Convert to fraction form
    34,819.20/52,237.20 = 11,444.40/x
  3. Step 3: Cross multiply
    34,819.20x = 52,237.20 × 11,444.40
  4. Step 4: Simplify right side
    34,819.20x = 597,823,411.68
  5. Step 5: Solve for x
    x = 597,823,411.68/34,819.20
  6. Step 6: Final answer
    x = 17,169.36

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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.