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Finding the Fourth Proportional to 100,013.10, 138,015.99 and 54,690.57

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Solution

The fourth proportional to 100,013.10, 138,015.99 and 54,690.57 is: 75,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.10 : 138,015.99 = 54,690.57 : x
  2. Step 2: Convert to fraction form
    100,013.10/138,015.99 = 54,690.57/x
  3. Step 3: Cross multiply
    100,013.10x = 138,015.99 × 54,690.57
  4. Step 4: Simplify right side
    100,013.10x = 7,548,173,162.21
  5. Step 5: Solve for x
    x = 7,548,173,162.21/100,013.10
  6. Step 6: Final answer
    x = 75,471.84

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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.