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Finding the Fourth Proportional to 38,461.67, 53,079.77 and 21,469.22

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Solution

The fourth proportional to 38,461.67, 53,079.77 and 21,469.22 is: 29,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.67 : 53,079.77 = 21,469.22 : x
  2. Step 2: Convert to fraction form
    38,461.67/53,079.77 = 21,469.22/x
  3. Step 3: Cross multiply
    38,461.67x = 53,079.77 × 21,469.22
  4. Step 4: Simplify right side
    38,461.67x = 1,139,581,446.05
  5. Step 5: Solve for x
    x = 1,139,581,446.05/38,461.67
  6. Step 6: Final answer
    x = 29,629.01

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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.