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Finding the Fourth Proportional to 53,059.70, 73,222.26 and 30,398.78

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Solution

The fourth proportional to 53,059.70, 73,222.26 and 30,398.78 is: 41,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,059.70 : 73,222.26 = 30,398.78 : x
  2. Step 2: Convert to fraction form
    53,059.70/73,222.26 = 30,398.78/x
  3. Step 3: Cross multiply
    53,059.70x = 73,222.26 × 30,398.78
  4. Step 4: Simplify right side
    53,059.70x = 2,225,867,372.84
  5. Step 5: Solve for x
    x = 2,225,867,372.84/53,059.70
  6. Step 6: Final answer
    x = 41,950.24

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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.