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Finding the Fourth Proportional to 53,914, 74,401.32 and 31,558

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Solution

The fourth proportional to 53,914, 74,401.32 and 31,558 is: 43,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914 : 74,401.32 = 31,558 : x
  2. Step 2: Convert to fraction form
    53,914/74,401.32 = 31,558/x
  3. Step 3: Cross multiply
    53,914x = 74,401.32 × 31,558
  4. Step 4: Simplify right side
    53,914x = 2,347,956,856.56
  5. Step 5: Solve for x
    x = 2,347,956,856.56/53,914
  6. Step 6: Final answer
    x = 43,550.04

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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.