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Finding the Fourth Proportional to 76,260.52, 114,390.86 and 31,863.08

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Solution

The fourth proportional to 76,260.52, 114,390.86 and 31,863.08 is: 47,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,260.52 : 114,390.86 = 31,863.08 : x
  2. Step 2: Convert to fraction form
    76,260.52/114,390.86 = 31,863.08/x
  3. Step 3: Cross multiply
    76,260.52x = 114,390.86 × 31,863.08
  4. Step 4: Simplify right side
    76,260.52x = 3,644,845,123.45
  5. Step 5: Solve for x
    x = 3,644,845,123.45/76,260.52
  6. Step 6: Final answer
    x = 47,794.65

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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.