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Finding the Fourth Proportional to 100,051.38, 138,065.72 and 54,720.54

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Solution

The fourth proportional to 100,051.38, 138,065.72 and 54,720.54 is: 75,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,051.38 : 138,065.72 = 54,720.54 : x
  2. Step 2: Convert to fraction form
    100,051.38/138,065.72 = 54,720.54/x
  3. Step 3: Cross multiply
    100,051.38x = 138,065.72 × 54,720.54
  4. Step 4: Simplify right side
    100,051.38x = 7,555,030,753.89
  5. Step 5: Solve for x
    x = 7,555,030,753.89/100,051.38
  6. Step 6: Final answer
    x = 75,511.51

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Why These Related Problems?

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