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Finding the Fourth Proportional to 52,584.96, 72,567.84 and 28,711.92

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Solution

The fourth proportional to 52,584.96, 72,567.84 and 28,711.92 is: 39,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,584.96 : 72,567.84 = 28,711.92 : x
  2. Step 2: Convert to fraction form
    52,584.96/72,567.84 = 28,711.92/x
  3. Step 3: Cross multiply
    52,584.96x = 72,567.84 × 28,711.92
  4. Step 4: Simplify right side
    52,584.96x = 2,083,562,016.65
  5. Step 5: Solve for x
    x = 2,083,562,016.65/52,584.96
  6. Step 6: Final answer
    x = 39,622.77

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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.