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Finding the Fourth Proportional to 84,162.31, 116,186.07 and 52,341.46

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Solution

The fourth proportional to 84,162.31, 116,186.07 and 52,341.46 is: 72,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162.31 : 116,186.07 = 52,341.46 : x
  2. Step 2: Convert to fraction form
    84,162.31/116,186.07 = 52,341.46/x
  3. Step 3: Cross multiply
    84,162.31x = 116,186.07 × 52,341.46
  4. Step 4: Simplify right side
    84,162.31x = 6,081,348,535.46
  5. Step 5: Solve for x
    x = 6,081,348,535.46/84,162.31
  6. Step 6: Final answer
    x = 72,257.39

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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.