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Finding the Fourth Proportional to 75,993.15, 114,030.77 and 31,650.51

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Solution

The fourth proportional to 75,993.15, 114,030.77 and 31,650.51 is: 47,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,993.15 : 114,030.77 = 31,650.51 : x
  2. Step 2: Convert to fraction form
    75,993.15/114,030.77 = 31,650.51/x
  3. Step 3: Cross multiply
    75,993.15x = 114,030.77 × 31,650.51
  4. Step 4: Simplify right side
    75,993.15x = 3,609,131,867.94
  5. Step 5: Solve for x
    x = 3,609,131,867.94/75,993.15
  6. Step 6: Final answer
    x = 47,492.86

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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.