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Finding the Fourth Proportional to 42,682.66, 64,021.56 and 13,100.42

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Solution

The fourth proportional to 42,682.66, 64,021.56 and 13,100.42 is: 19,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.66 : 64,021.56 = 13,100.42 : x
  2. Step 2: Convert to fraction form
    42,682.66/64,021.56 = 13,100.42/x
  3. Step 3: Cross multiply
    42,682.66x = 64,021.56 × 13,100.42
  4. Step 4: Simplify right side
    42,682.66x = 838,709,325.06
  5. Step 5: Solve for x
    x = 838,709,325.06/42,682.66
  6. Step 6: Final answer
    x = 19,649.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.