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Finding the Fourth Proportional to 76,193.74, 114,308.85 and 31,795.79

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Solution

The fourth proportional to 76,193.74, 114,308.85 and 31,795.79 is: 47,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193.74 : 114,308.85 = 31,795.79 : x
  2. Step 2: Convert to fraction form
    76,193.74/114,308.85 = 31,795.79/x
  3. Step 3: Cross multiply
    76,193.74x = 114,308.85 × 31,795.79
  4. Step 4: Simplify right side
    76,193.74x = 3,634,540,189.74
  5. Step 5: Solve for x
    x = 3,634,540,189.74/76,193.74
  6. Step 6: Final answer
    x = 47,701.30

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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.