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Finding the Fourth Proportional to 117,662.80, 176,516.06 and 38,782.56

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Solution

The fourth proportional to 117,662.80, 176,516.06 and 38,782.56 is: 58,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,662.80 : 176,516.06 = 38,782.56 : x
  2. Step 2: Convert to fraction form
    117,662.80/176,516.06 = 38,782.56/x
  3. Step 3: Cross multiply
    117,662.80x = 176,516.06 × 38,782.56
  4. Step 4: Simplify right side
    117,662.80x = 6,845,744,687.91
  5. Step 5: Solve for x
    x = 6,845,744,687.91/117,662.80
  6. Step 6: Final answer
    x = 58,181.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.