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Finding the Fourth Proportional to 42,682.96, 64,022.01 and 13,100.75

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Solution

The fourth proportional to 42,682.96, 64,022.01 and 13,100.75 is: 19,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.96 : 64,022.01 = 13,100.75 : x
  2. Step 2: Convert to fraction form
    42,682.96/64,022.01 = 13,100.75/x
  3. Step 3: Cross multiply
    42,682.96x = 64,022.01 × 13,100.75
  4. Step 4: Simplify right side
    42,682.96x = 838,736,347.51
  5. Step 5: Solve for x
    x = 838,736,347.51/42,682.96
  6. Step 6: Final answer
    x = 19,650.38

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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.