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Finding the Fourth Proportional to 42,894.92, 64,324.56 and 16,584.50

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Solution

The fourth proportional to 42,894.92, 64,324.56 and 16,584.50 is: 24,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.92 : 64,324.56 = 16,584.50 : x
  2. Step 2: Convert to fraction form
    42,894.92/64,324.56 = 16,584.50/x
  3. Step 3: Cross multiply
    42,894.92x = 64,324.56 × 16,584.50
  4. Step 4: Simplify right side
    42,894.92x = 1,066,790,665.32
  5. Step 5: Solve for x
    x = 1,066,790,665.32/42,894.92
  6. Step 6: Final answer
    x = 24,869.86

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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.