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Finding the Fourth Proportional to 74,351.46, 102,602.25 and 42,519.54

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Solution

The fourth proportional to 74,351.46, 102,602.25 and 42,519.54 is: 58,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351.46 : 102,602.25 = 42,519.54 : x
  2. Step 2: Convert to fraction form
    74,351.46/102,602.25 = 42,519.54/x
  3. Step 3: Cross multiply
    74,351.46x = 102,602.25 × 42,519.54
  4. Step 4: Simplify right side
    74,351.46x = 4,362,600,472.97
  5. Step 5: Solve for x
    x = 4,362,600,472.97/74,351.46
  6. Step 6: Final answer
    x = 58,675.38

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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.