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Finding the Fourth Proportional to 57,130.28, 85,694.50 and 15,577.28

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Solution

The fourth proportional to 57,130.28, 85,694.50 and 15,577.28 is: 23,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,130.28 : 85,694.50 = 15,577.28 : x
  2. Step 2: Convert to fraction form
    57,130.28/85,694.50 = 15,577.28/x
  3. Step 3: Cross multiply
    57,130.28x = 85,694.50 × 15,577.28
  4. Step 4: Simplify right side
    57,130.28x = 1,334,887,220.96
  5. Step 5: Solve for x
    x = 1,334,887,220.96/57,130.28
  6. Step 6: Final answer
    x = 23,365.67

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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.