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Finding the Fourth Proportional to 81,666.18, 112,698.78 and 51,471

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Solution

The fourth proportional to 81,666.18, 112,698.78 and 51,471 is: 71,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666.18 : 112,698.78 = 51,471 : x
  2. Step 2: Convert to fraction form
    81,666.18/112,698.78 = 51,471/x
  3. Step 3: Cross multiply
    81,666.18x = 112,698.78 × 51,471
  4. Step 4: Simplify right side
    81,666.18x = 5,800,718,905.38
  5. Step 5: Solve for x
    x = 5,800,718,905.38/81,666.18
  6. Step 6: Final answer
    x = 71,029.63

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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.