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Finding the Fourth Proportional to 75,753, 113,653.08 and 31,400.64

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Solution

The fourth proportional to 75,753, 113,653.08 and 31,400.64 is: 47,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,753 : 113,653.08 = 31,400.64 : x
  2. Step 2: Convert to fraction form
    75,753/113,653.08 = 31,400.64/x
  3. Step 3: Cross multiply
    75,753x = 113,653.08 × 31,400.64
  4. Step 4: Simplify right side
    75,753x = 3,568,779,449.97
  5. Step 5: Solve for x
    x = 3,568,779,449.97/75,753
  6. Step 6: Final answer
    x = 47,110.73

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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.