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Finding the Fourth Proportional to 75,102.48, 103,591.44 and 57,157.20

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Solution

The fourth proportional to 75,102.48, 103,591.44 and 57,157.20 is: 78,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.48 : 103,591.44 = 57,157.20 : x
  2. Step 2: Convert to fraction form
    75,102.48/103,591.44 = 57,157.20/x
  3. Step 3: Cross multiply
    75,102.48x = 103,591.44 × 57,157.20
  4. Step 4: Simplify right side
    75,102.48x = 5,920,996,654.37
  5. Step 5: Solve for x
    x = 5,920,996,654.37/75,102.48
  6. Step 6: Final answer
    x = 78,838.90

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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.