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Finding the Fourth Proportional to 76,167.92, 114,277.80 and 39,206

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Solution

The fourth proportional to 76,167.92, 114,277.80 and 39,206 is: 58,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167.92 : 114,277.80 = 39,206 : x
  2. Step 2: Convert to fraction form
    76,167.92/114,277.80 = 39,206/x
  3. Step 3: Cross multiply
    76,167.92x = 114,277.80 × 39,206
  4. Step 4: Simplify right side
    76,167.92x = 4,480,375,426.80
  5. Step 5: Solve for x
    x = 4,480,375,426.80/76,167.92
  6. Step 6: Final answer
    x = 58,822.34

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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.