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Finding the Fourth Proportional to 106,478.45, 146,939.66 and 58,731.68

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Solution

The fourth proportional to 106,478.45, 146,939.66 and 58,731.68 is: 81,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.45 : 146,939.66 = 58,731.68 : x
  2. Step 2: Convert to fraction form
    106,478.45/146,939.66 = 58,731.68/x
  3. Step 3: Cross multiply
    106,478.45x = 146,939.66 × 58,731.68
  4. Step 4: Simplify right side
    106,478.45x = 8,630,012,062.07
  5. Step 5: Solve for x
    x = 8,630,012,062.07/106,478.45
  6. Step 6: Final answer
    x = 81,049.38

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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.