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Finding the Fourth Proportional to 52,719.62, 72,745.90 and 31,494.38

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Solution

The fourth proportional to 52,719.62, 72,745.90 and 31,494.38 is: 43,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719.62 : 72,745.90 = 31,494.38 : x
  2. Step 2: Convert to fraction form
    52,719.62/72,745.90 = 31,494.38/x
  3. Step 3: Cross multiply
    52,719.62x = 72,745.90 × 31,494.38
  4. Step 4: Simplify right side
    52,719.62x = 2,291,086,575.58
  5. Step 5: Solve for x
    x = 2,291,086,575.58/52,719.62
  6. Step 6: Final answer
    x = 43,457.95

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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.