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Finding the Fourth Proportional to 42,679.20, 64,028.40 and 13,098.40

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Solution

The fourth proportional to 42,679.20, 64,028.40 and 13,098.40 is: 19,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,679.20 : 64,028.40 = 13,098.40 : x
  2. Step 2: Convert to fraction form
    42,679.20/64,028.40 = 13,098.40/x
  3. Step 3: Cross multiply
    42,679.20x = 64,028.40 × 13,098.40
  4. Step 4: Simplify right side
    42,679.20x = 838,669,594.56
  5. Step 5: Solve for x
    x = 838,669,594.56/42,679.20
  6. Step 6: Final answer
    x = 19,650.55

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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.