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Finding the Fourth Proportional to 51,654.30, 71,262.34 and 31,509.60

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Solution

The fourth proportional to 51,654.30, 71,262.34 and 31,509.60 is: 43,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654.30 : 71,262.34 = 31,509.60 : x
  2. Step 2: Convert to fraction form
    51,654.30/71,262.34 = 31,509.60/x
  3. Step 3: Cross multiply
    51,654.30x = 71,262.34 × 31,509.60
  4. Step 4: Simplify right side
    51,654.30x = 2,245,447,828.46
  5. Step 5: Solve for x
    x = 2,245,447,828.46/51,654.30
  6. Step 6: Final answer
    x = 43,470.69

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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.