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Finding the Fourth Proportional to 76,382.08, 114,589.76 and 31,403.76

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Solution

The fourth proportional to 76,382.08, 114,589.76 and 31,403.76 is: 47,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.08 : 114,589.76 = 31,403.76 : x
  2. Step 2: Convert to fraction form
    76,382.08/114,589.76 = 31,403.76/x
  3. Step 3: Cross multiply
    76,382.08x = 114,589.76 × 31,403.76
  4. Step 4: Simplify right side
    76,382.08x = 3,598,549,321.50
  5. Step 5: Solve for x
    x = 3,598,549,321.50/76,382.08
  6. Step 6: Final answer
    x = 47,112.48

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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.