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Finding the Fourth Proportional to 76,047.96, 114,090.60 and 26,128.77

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Solution

The fourth proportional to 76,047.96, 114,090.60 and 26,128.77 is: 39,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,047.96 : 114,090.60 = 26,128.77 : x
  2. Step 2: Convert to fraction form
    76,047.96/114,090.60 = 26,128.77/x
  3. Step 3: Cross multiply
    76,047.96x = 114,090.60 × 26,128.77
  4. Step 4: Simplify right side
    76,047.96x = 2,981,047,046.56
  5. Step 5: Solve for x
    x = 2,981,047,046.56/76,047.96
  6. Step 6: Final answer
    x = 39,199.57

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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.