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Finding the Fourth Proportional to 53,892.87, 74,372.16 and 31,245

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Solution

The fourth proportional to 53,892.87, 74,372.16 and 31,245 is: 43,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,892.87 : 74,372.16 = 31,245 : x
  2. Step 2: Convert to fraction form
    53,892.87/74,372.16 = 31,245/x
  3. Step 3: Cross multiply
    53,892.87x = 74,372.16 × 31,245
  4. Step 4: Simplify right side
    53,892.87x = 2,323,758,139.20
  5. Step 5: Solve for x
    x = 2,323,758,139.20/53,892.87
  6. Step 6: Final answer
    x = 43,118.10

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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.