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Finding the Fourth Proportional to 53,882.47, 74,354.91 and 29,682.64

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Solution

The fourth proportional to 53,882.47, 74,354.91 and 29,682.64 is: 40,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,882.47 : 74,354.91 = 29,682.64 : x
  2. Step 2: Convert to fraction form
    53,882.47/74,354.91 = 29,682.64/x
  3. Step 3: Cross multiply
    53,882.47x = 74,354.91 × 29,682.64
  4. Step 4: Simplify right side
    53,882.47x = 2,207,049,653.99
  5. Step 5: Solve for x
    x = 2,207,049,653.99/53,882.47
  6. Step 6: Final answer
    x = 40,960.44

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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.