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Finding the Fourth Proportional to 47,847.86, 71,782.72 and 14,572.64

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Solution

The fourth proportional to 47,847.86, 71,782.72 and 14,572.64 is: 21,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.86 : 71,782.72 = 14,572.64 : x
  2. Step 2: Convert to fraction form
    47,847.86/71,782.72 = 14,572.64/x
  3. Step 3: Cross multiply
    47,847.86x = 71,782.72 × 14,572.64
  4. Step 4: Simplify right side
    47,847.86x = 1,046,063,736.78
  5. Step 5: Solve for x
    x = 1,046,063,736.78/47,847.86
  6. Step 6: Final answer
    x = 21,862.29

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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.