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Finding the Fourth Proportional to 38,146.41, 52,658.51 and 35,755.29

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Solution

The fourth proportional to 38,146.41, 52,658.51 and 35,755.29 is: 49,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.41 : 52,658.51 = 35,755.29 : x
  2. Step 2: Convert to fraction form
    38,146.41/52,658.51 = 35,755.29/x
  3. Step 3: Cross multiply
    38,146.41x = 52,658.51 × 35,755.29
  4. Step 4: Simplify right side
    38,146.41x = 1,882,820,117.24
  5. Step 5: Solve for x
    x = 1,882,820,117.24/38,146.41
  6. Step 6: Final answer
    x = 49,357.73

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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.