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Finding the Fourth Proportional to 42,856.46, 64,284 and 11,691.71

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Solution

The fourth proportional to 42,856.46, 64,284 and 11,691.71 is: 17,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856.46 : 64,284 = 11,691.71 : x
  2. Step 2: Convert to fraction form
    42,856.46/64,284 = 11,691.71/x
  3. Step 3: Cross multiply
    42,856.46x = 64,284 × 11,691.71
  4. Step 4: Simplify right side
    42,856.46x = 751,589,564.22
  5. Step 5: Solve for x
    x = 751,589,564.22/42,856.46
  6. Step 6: Final answer
    x = 17,537.37

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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.