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Finding the Fourth Proportional to 38,457.42, 53,067.87 and 21,460.38

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Solution

The fourth proportional to 38,457.42, 53,067.87 and 21,460.38 is: 29,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.42 : 53,067.87 = 21,460.38 : x
  2. Step 2: Convert to fraction form
    38,457.42/53,067.87 = 21,460.38/x
  3. Step 3: Cross multiply
    38,457.42x = 53,067.87 × 21,460.38
  4. Step 4: Simplify right side
    38,457.42x = 1,138,856,655.99
  5. Step 5: Solve for x
    x = 1,138,856,655.99/38,457.42
  6. Step 6: Final answer
    x = 29,613.44

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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.