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Finding the Fourth Proportional to 47,561.68, 65,624.38 and 28,438.29

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Solution

The fourth proportional to 47,561.68, 65,624.38 and 28,438.29 is: 39,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,561.68 : 65,624.38 = 28,438.29 : x
  2. Step 2: Convert to fraction form
    47,561.68/65,624.38 = 28,438.29/x
  3. Step 3: Cross multiply
    47,561.68x = 65,624.38 × 28,438.29
  4. Step 4: Simplify right side
    47,561.68x = 1,866,245,078.41
  5. Step 5: Solve for x
    x = 1,866,245,078.41/47,561.68
  6. Step 6: Final answer
    x = 39,238.42

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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.