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Finding the Fourth Proportional to 72,464.26, 108,602.82 and 32,454

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Solution

The fourth proportional to 72,464.26, 108,602.82 and 32,454 is: 48,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,464.26 : 108,602.82 = 32,454 : x
  2. Step 2: Convert to fraction form
    72,464.26/108,602.82 = 32,454/x
  3. Step 3: Cross multiply
    72,464.26x = 108,602.82 × 32,454
  4. Step 4: Simplify right side
    72,464.26x = 3,524,595,920.28
  5. Step 5: Solve for x
    x = 3,524,595,920.28/72,464.26
  6. Step 6: Final answer
    x = 48,639.09

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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.