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Finding the Fourth Proportional to 38,546.70, 53,132.91 and 31,460.94

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Solution

The fourth proportional to 38,546.70, 53,132.91 and 31,460.94 is: 43,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.70 : 53,132.91 = 31,460.94 : x
  2. Step 2: Convert to fraction form
    38,546.70/53,132.91 = 31,460.94/x
  3. Step 3: Cross multiply
    38,546.70x = 53,132.91 × 31,460.94
  4. Step 4: Simplify right side
    38,546.70x = 1,671,611,293.54
  5. Step 5: Solve for x
    x = 1,671,611,293.54/38,546.70
  6. Step 6: Final answer
    x = 43,365.87

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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.