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Finding the Fourth Proportional to 76,841.38, 106,042.98 and 42,849.54

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Solution

The fourth proportional to 76,841.38, 106,042.98 and 42,849.54 is: 59,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.38 : 106,042.98 = 42,849.54 : x
  2. Step 2: Convert to fraction form
    76,841.38/106,042.98 = 42,849.54/x
  3. Step 3: Cross multiply
    76,841.38x = 106,042.98 × 42,849.54
  4. Step 4: Simplify right side
    76,841.38x = 4,543,892,913.23
  5. Step 5: Solve for x
    x = 4,543,892,913.23/76,841.38
  6. Step 6: Final answer
    x = 59,133.41

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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.