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Finding the Fourth Proportional to 76,336.88, 114,449.96 and 51,314.86

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Solution

The fourth proportional to 76,336.88, 114,449.96 and 51,314.86 is: 76,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,336.88 : 114,449.96 = 51,314.86 : x
  2. Step 2: Convert to fraction form
    76,336.88/114,449.96 = 51,314.86/x
  3. Step 3: Cross multiply
    76,336.88x = 114,449.96 × 51,314.86
  4. Step 4: Simplify right side
    76,336.88x = 5,872,983,674.41
  5. Step 5: Solve for x
    x = 5,872,983,674.41/76,336.88
  6. Step 6: Final answer
    x = 76,935.08

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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.