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Finding the Fourth Proportional to 57,405.60, 86,084.10 and 17,952.12

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Solution

The fourth proportional to 57,405.60, 86,084.10 and 17,952.12 is: 26,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.60 : 86,084.10 = 17,952.12 : x
  2. Step 2: Convert to fraction form
    57,405.60/86,084.10 = 17,952.12/x
  3. Step 3: Cross multiply
    57,405.60x = 86,084.10 × 17,952.12
  4. Step 4: Simplify right side
    57,405.60x = 1,545,392,093.29
  5. Step 5: Solve for x
    x = 1,545,392,093.29/57,405.60
  6. Step 6: Final answer
    x = 26,920.58

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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.