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Finding the Fourth Proportional to 57,014, 85,539.46 and 27,428

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Solution

The fourth proportional to 57,014, 85,539.46 and 27,428 is: 41,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014 : 85,539.46 = 27,428 : x
  2. Step 2: Convert to fraction form
    57,014/85,539.46 = 27,428/x
  3. Step 3: Cross multiply
    57,014x = 85,539.46 × 27,428
  4. Step 4: Simplify right side
    57,014x = 2,346,176,308.88
  5. Step 5: Solve for x
    x = 2,346,176,308.88/57,014
  6. Step 6: Final answer
    x = 41,150.88

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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.