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Finding the Fourth Proportional to 42,014.70, 57,978.18 and 27,893.16

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Solution

The fourth proportional to 42,014.70, 57,978.18 and 27,893.16 is: 38,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014.70 : 57,978.18 = 27,893.16 : x
  2. Step 2: Convert to fraction form
    42,014.70/57,978.18 = 27,893.16/x
  3. Step 3: Cross multiply
    42,014.70x = 57,978.18 × 27,893.16
  4. Step 4: Simplify right side
    42,014.70x = 1,617,194,651.25
  5. Step 5: Solve for x
    x = 1,617,194,651.25/42,014.70
  6. Step 6: Final answer
    x = 38,491.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.