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Finding the Fourth Proportional to 76,679.82, 115,037.10 and 23,376.51

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Solution

The fourth proportional to 76,679.82, 115,037.10 and 23,376.51 is: 35,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.82 : 115,037.10 = 23,376.51 : x
  2. Step 2: Convert to fraction form
    76,679.82/115,037.10 = 23,376.51/x
  3. Step 3: Cross multiply
    76,679.82x = 115,037.10 × 23,376.51
  4. Step 4: Simplify right side
    76,679.82x = 2,689,165,918.52
  5. Step 5: Solve for x
    x = 2,689,165,918.52/76,679.82
  6. Step 6: Final answer
    x = 35,070.06

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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.