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Finding the Fourth Proportional to 76,042.65, 104,939.54 and 42,053.43

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Solution

The fourth proportional to 76,042.65, 104,939.54 and 42,053.43 is: 58,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,042.65 : 104,939.54 = 42,053.43 : x
  2. Step 2: Convert to fraction form
    76,042.65/104,939.54 = 42,053.43/x
  3. Step 3: Cross multiply
    76,042.65x = 104,939.54 × 42,053.43
  4. Step 4: Simplify right side
    76,042.65x = 4,413,067,599.62
  5. Step 5: Solve for x
    x = 4,413,067,599.62/76,042.65
  6. Step 6: Final answer
    x = 58,034.11

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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.