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Finding the Fourth Proportional to 51,978.22, 71,729.84 and 29,317.14

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Solution

The fourth proportional to 51,978.22, 71,729.84 and 29,317.14 is: 40,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.22 : 71,729.84 = 29,317.14 : x
  2. Step 2: Convert to fraction form
    51,978.22/71,729.84 = 29,317.14/x
  3. Step 3: Cross multiply
    51,978.22x = 71,729.84 × 29,317.14
  4. Step 4: Simplify right side
    51,978.22x = 2,102,913,614.87
  5. Step 5: Solve for x
    x = 2,102,913,614.87/51,978.22
  6. Step 6: Final answer
    x = 40,457.59

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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.