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Finding the Fourth Proportional to 75,959.58, 113,904.74 and 31,559.84

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Solution

The fourth proportional to 75,959.58, 113,904.74 and 31,559.84 is: 47,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.58 : 113,904.74 = 31,559.84 : x
  2. Step 2: Convert to fraction form
    75,959.58/113,904.74 = 31,559.84/x
  3. Step 3: Cross multiply
    75,959.58x = 113,904.74 × 31,559.84
  4. Step 4: Simplify right side
    75,959.58x = 3,594,814,879.02
  5. Step 5: Solve for x
    x = 3,594,814,879.02/75,959.58
  6. Step 6: Final answer
    x = 47,325.37

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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.