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Finding the Fourth Proportional to 76,640.22, 114,965.19 and 24,051.78

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Solution

The fourth proportional to 76,640.22, 114,965.19 and 24,051.78 is: 36,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640.22 : 114,965.19 = 24,051.78 : x
  2. Step 2: Convert to fraction form
    76,640.22/114,965.19 = 24,051.78/x
  3. Step 3: Cross multiply
    76,640.22x = 114,965.19 × 24,051.78
  4. Step 4: Simplify right side
    76,640.22x = 2,765,117,457.54
  5. Step 5: Solve for x
    x = 2,765,117,457.54/76,640.22
  6. Step 6: Final answer
    x = 36,079.20

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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.