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Finding the Fourth Proportional to 129,382.88, 194,074.31 and 35,888.63

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Solution

The fourth proportional to 129,382.88, 194,074.31 and 35,888.63 is: 53,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,382.88 : 194,074.31 = 35,888.63 : x
  2. Step 2: Convert to fraction form
    129,382.88/194,074.31 = 35,888.63/x
  3. Step 3: Cross multiply
    129,382.88x = 194,074.31 × 35,888.63
  4. Step 4: Simplify right side
    129,382.88x = 6,965,060,223.45
  5. Step 5: Solve for x
    x = 6,965,060,223.45/129,382.88
  6. Step 6: Final answer
    x = 53,832.94

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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.