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Finding the Fourth Proportional to 54,826.32, 75,661.68 and 30,953.34

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Solution

The fourth proportional to 54,826.32, 75,661.68 and 30,953.34 is: 42,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,826.32 : 75,661.68 = 30,953.34 : x
  2. Step 2: Convert to fraction form
    54,826.32/75,661.68 = 30,953.34/x
  3. Step 3: Cross multiply
    54,826.32x = 75,661.68 × 30,953.34
  4. Step 4: Simplify right side
    54,826.32x = 2,341,981,706.01
  5. Step 5: Solve for x
    x = 2,341,981,706.01/54,826.32
  6. Step 6: Final answer
    x = 42,716.38

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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.