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Finding the Fourth Proportional to 75,000.96, 103,586.40 and 51,086.16

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Solution

The fourth proportional to 75,000.96, 103,586.40 and 51,086.16 is: 70,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000.96 : 103,586.40 = 51,086.16 : x
  2. Step 2: Convert to fraction form
    75,000.96/103,586.40 = 51,086.16/x
  3. Step 3: Cross multiply
    75,000.96x = 103,586.40 × 51,086.16
  4. Step 4: Simplify right side
    75,000.96x = 5,291,831,404.22
  5. Step 5: Solve for x
    x = 5,291,831,404.22/75,000.96
  6. Step 6: Final answer
    x = 70,556.85

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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.