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Finding the Fourth Proportional to 76,164.39, 114,269.94 and 34,079.90

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Solution

The fourth proportional to 76,164.39, 114,269.94 and 34,079.90 is: 51,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164.39 : 114,269.94 = 34,079.90 : x
  2. Step 2: Convert to fraction form
    76,164.39/114,269.94 = 34,079.90/x
  3. Step 3: Cross multiply
    76,164.39x = 114,269.94 × 34,079.90
  4. Step 4: Simplify right side
    76,164.39x = 3,894,307,556.86
  5. Step 5: Solve for x
    x = 3,894,307,556.86/76,164.39
  6. Step 6: Final answer
    x = 51,130.29

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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.