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Finding the Fourth Proportional to 76,165.39, 114,271.44 and 34,080.90

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Solution

The fourth proportional to 76,165.39, 114,271.44 and 34,080.90 is: 51,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165.39 : 114,271.44 = 34,080.90 : x
  2. Step 2: Convert to fraction form
    76,165.39/114,271.44 = 34,080.90/x
  3. Step 3: Cross multiply
    76,165.39x = 114,271.44 × 34,080.90
  4. Step 4: Simplify right side
    76,165.39x = 3,894,473,519.50
  5. Step 5: Solve for x
    x = 3,894,473,519.50/76,165.39
  6. Step 6: Final answer
    x = 51,131.80

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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.