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Finding the Fourth Proportional to 58,187, 80,298.06 and 31,691

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Solution

The fourth proportional to 58,187, 80,298.06 and 31,691 is: 43,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,187 : 80,298.06 = 31,691 : x
  2. Step 2: Convert to fraction form
    58,187/80,298.06 = 31,691/x
  3. Step 3: Cross multiply
    58,187x = 80,298.06 × 31,691
  4. Step 4: Simplify right side
    58,187x = 2,544,725,819.46
  5. Step 5: Solve for x
    x = 2,544,725,819.46/58,187
  6. Step 6: Final answer
    x = 43,733.58

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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.