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Finding the Fourth Proportional to 47,930.54, 66,116.66 and 29,994.40

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Solution

The fourth proportional to 47,930.54, 66,116.66 and 29,994.40 is: 41,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,930.54 : 66,116.66 = 29,994.40 : x
  2. Step 2: Convert to fraction form
    47,930.54/66,116.66 = 29,994.40/x
  3. Step 3: Cross multiply
    47,930.54x = 66,116.66 × 29,994.40
  4. Step 4: Simplify right side
    47,930.54x = 1,983,129,479.38
  5. Step 5: Solve for x
    x = 1,983,129,479.38/47,930.54
  6. Step 6: Final answer
    x = 41,375.07

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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.