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Finding the Fourth Proportional to 100,014.10, 138,017.37 and 54,691.57

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Solution

The fourth proportional to 100,014.10, 138,017.37 and 54,691.57 is: 75,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014.10 : 138,017.37 = 54,691.57 : x
  2. Step 2: Convert to fraction form
    100,014.10/138,017.37 = 54,691.57/x
  3. Step 3: Cross multiply
    100,014.10x = 138,017.37 × 54,691.57
  4. Step 4: Simplify right side
    100,014.10x = 7,548,386,652.57
  5. Step 5: Solve for x
    x = 7,548,386,652.57/100,014.10
  6. Step 6: Final answer
    x = 75,473.22

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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.