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Finding the Fourth Proportional to 76,166.92, 114,276.30 and 39,205

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Solution

The fourth proportional to 76,166.92, 114,276.30 and 39,205 is: 58,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,166.92 : 114,276.30 = 39,205 : x
  2. Step 2: Convert to fraction form
    76,166.92/114,276.30 = 39,205/x
  3. Step 3: Cross multiply
    76,166.92x = 114,276.30 × 39,205
  4. Step 4: Simplify right side
    76,166.92x = 4,480,202,341.50
  5. Step 5: Solve for x
    x = 4,480,202,341.50/76,166.92
  6. Step 6: Final answer
    x = 58,820.84

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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.