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Finding the Fourth Proportional to 52,514.68, 72,476.48 and 29,857.09

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Solution

The fourth proportional to 52,514.68, 72,476.48 and 29,857.09 is: 41,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514.68 : 72,476.48 = 29,857.09 : x
  2. Step 2: Convert to fraction form
    52,514.68/72,476.48 = 29,857.09/x
  3. Step 3: Cross multiply
    52,514.68x = 72,476.48 × 29,857.09
  4. Step 4: Simplify right side
    52,514.68x = 2,163,936,679.69
  5. Step 5: Solve for x
    x = 2,163,936,679.69/52,514.68
  6. Step 6: Final answer
    x = 41,206.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.