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Finding the Fourth Proportional to 75,027.56, 112,506.64 and 27,630.68

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Solution

The fourth proportional to 75,027.56, 112,506.64 and 27,630.68 is: 41,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027.56 : 112,506.64 = 27,630.68 : x
  2. Step 2: Convert to fraction form
    75,027.56/112,506.64 = 27,630.68/x
  3. Step 3: Cross multiply
    75,027.56x = 112,506.64 × 27,630.68
  4. Step 4: Simplify right side
    75,027.56x = 3,108,634,967.72
  5. Step 5: Solve for x
    x = 3,108,634,967.72/75,027.56
  6. Step 6: Final answer
    x = 41,433.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.