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Finding the Fourth Proportional to 53,199.22, 79,699.17 and 47,722

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Solution

The fourth proportional to 53,199.22, 79,699.17 and 47,722 is: 71,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,199.22 : 79,699.17 = 47,722 : x
  2. Step 2: Convert to fraction form
    53,199.22/79,699.17 = 47,722/x
  3. Step 3: Cross multiply
    53,199.22x = 79,699.17 × 47,722
  4. Step 4: Simplify right side
    53,199.22x = 3,803,403,790.74
  5. Step 5: Solve for x
    x = 3,803,403,790.74/53,199.22
  6. Step 6: Final answer
    x = 71,493.60

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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.