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Finding the Fourth Proportional to 76,148.73, 114,138.14 and 31,760.73

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Solution

The fourth proportional to 76,148.73, 114,138.14 and 31,760.73 is: 47,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.73 : 114,138.14 = 31,760.73 : x
  2. Step 2: Convert to fraction form
    76,148.73/114,138.14 = 31,760.73/x
  3. Step 3: Cross multiply
    76,148.73x = 114,138.14 × 31,760.73
  4. Step 4: Simplify right side
    76,148.73x = 3,625,110,488.44
  5. Step 5: Solve for x
    x = 3,625,110,488.44/76,148.73
  6. Step 6: Final answer
    x = 47,605.66

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1.5x scale

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.