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Finding the Fourth Proportional to 42,825, 64,238.31 and 11,661.06

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Solution

The fourth proportional to 42,825, 64,238.31 and 11,661.06 is: 17,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,825 : 64,238.31 = 11,661.06 : x
  2. Step 2: Convert to fraction form
    42,825/64,238.31 = 11,661.06/x
  3. Step 3: Cross multiply
    42,825x = 64,238.31 × 11,661.06
  4. Step 4: Simplify right side
    42,825x = 749,086,787.21
  5. Step 5: Solve for x
    x = 749,086,787.21/42,825
  6. Step 6: Final answer
    x = 17,491.81

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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.