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Finding the Fourth Proportional to 76,640.42, 114,965.48 and 24,051.98

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Solution

The fourth proportional to 76,640.42, 114,965.48 and 24,051.98 is: 36,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640.42 : 114,965.48 = 24,051.98 : x
  2. Step 2: Convert to fraction form
    76,640.42/114,965.48 = 24,051.98/x
  3. Step 3: Cross multiply
    76,640.42x = 114,965.48 × 24,051.98
  4. Step 4: Simplify right side
    76,640.42x = 2,765,146,730.56
  5. Step 5: Solve for x
    x = 2,765,146,730.56/76,640.42
  6. Step 6: Final answer
    x = 36,079.49

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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.