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Finding the Fourth Proportional to 57,735, 86,605.02 and 18,295.02

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Solution

The fourth proportional to 57,735, 86,605.02 and 18,295.02 is: 27,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,735 : 86,605.02 = 18,295.02 : x
  2. Step 2: Convert to fraction form
    57,735/86,605.02 = 18,295.02/x
  3. Step 3: Cross multiply
    57,735x = 86,605.02 × 18,295.02
  4. Step 4: Simplify right side
    57,735x = 1,584,440,573.00
  5. Step 5: Solve for x
    x = 1,584,440,573.00/57,735
  6. Step 6: Final answer
    x = 27,443.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.