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Finding the Fourth Proportional to 57,456, 86,189.04 and 15,903.36

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Solution

The fourth proportional to 57,456, 86,189.04 and 15,903.36 is: 23,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 86,189.04 = 15,903.36 : x
  2. Step 2: Convert to fraction form
    57,456/86,189.04 = 15,903.36/x
  3. Step 3: Cross multiply
    57,456x = 86,189.04 × 15,903.36
  4. Step 4: Simplify right side
    57,456x = 1,370,695,331.17
  5. Step 5: Solve for x
    x = 1,370,695,331.17/57,456
  6. Step 6: Final answer
    x = 23,856.44

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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.