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Finding the Fourth Proportional to 58,119, 80,204.22 and 31,623

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Solution

The fourth proportional to 58,119, 80,204.22 and 31,623 is: 43,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,119 : 80,204.22 = 31,623 : x
  2. Step 2: Convert to fraction form
    58,119/80,204.22 = 31,623/x
  3. Step 3: Cross multiply
    58,119x = 80,204.22 × 31,623
  4. Step 4: Simplify right side
    58,119x = 2,536,298,049.06
  5. Step 5: Solve for x
    x = 2,536,298,049.06/58,119
  6. Step 6: Final answer
    x = 43,639.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.