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Finding the Fourth Proportional to 38,533.85, 57,800.51 and 19,819.10

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Solution

The fourth proportional to 38,533.85, 57,800.51 and 19,819.10 is: 29,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.85 : 57,800.51 = 19,819.10 : x
  2. Step 2: Convert to fraction form
    38,533.85/57,800.51 = 19,819.10/x
  3. Step 3: Cross multiply
    38,533.85x = 57,800.51 × 19,819.10
  4. Step 4: Simplify right side
    38,533.85x = 1,145,553,699.64
  5. Step 5: Solve for x
    x = 1,145,553,699.64/38,533.85
  6. Step 6: Final answer
    x = 29,728.51

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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.