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Finding the Fourth Proportional to 66,592, 91,896.96 and 36,784

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Solution

The fourth proportional to 66,592, 91,896.96 and 36,784 is: 50,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592 : 91,896.96 = 36,784 : x
  2. Step 2: Convert to fraction form
    66,592/91,896.96 = 36,784/x
  3. Step 3: Cross multiply
    66,592x = 91,896.96 × 36,784
  4. Step 4: Simplify right side
    66,592x = 3,380,337,776.64
  5. Step 5: Solve for x
    x = 3,380,337,776.64/66,592
  6. Step 6: Final answer
    x = 50,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.