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Finding the Fourth Proportional to 76,585.96, 114,879.03 and 37,148.86

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Solution

The fourth proportional to 76,585.96, 114,879.03 and 37,148.86 is: 55,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,585.96 : 114,879.03 = 37,148.86 : x
  2. Step 2: Convert to fraction form
    76,585.96/114,879.03 = 37,148.86/x
  3. Step 3: Cross multiply
    76,585.96x = 114,879.03 × 37,148.86
  4. Step 4: Simplify right side
    76,585.96x = 4,267,625,002.41
  5. Step 5: Solve for x
    x = 4,267,625,002.41/76,585.96
  6. Step 6: Final answer
    x = 55,723.33

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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.