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Finding the Fourth Proportional to 53,396.46, 73,684.14 and 29,521.74

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Solution

The fourth proportional to 53,396.46, 73,684.14 and 29,521.74 is: 40,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396.46 : 73,684.14 = 29,521.74 : x
  2. Step 2: Convert to fraction form
    53,396.46/73,684.14 = 29,521.74/x
  3. Step 3: Cross multiply
    53,396.46x = 73,684.14 × 29,521.74
  4. Step 4: Simplify right side
    53,396.46x = 2,175,284,023.20
  5. Step 5: Solve for x
    x = 2,175,284,023.20/53,396.46
  6. Step 6: Final answer
    x = 40,738.36

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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.