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Finding the Fourth Proportional to 47,171.34, 65,123.31 and 31,277.28

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Solution

The fourth proportional to 47,171.34, 65,123.31 and 31,277.28 is: 43,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,171.34 : 65,123.31 = 31,277.28 : x
  2. Step 2: Convert to fraction form
    47,171.34/65,123.31 = 31,277.28/x
  3. Step 3: Cross multiply
    47,171.34x = 65,123.31 × 31,277.28
  4. Step 4: Simplify right side
    47,171.34x = 2,036,880,001.40
  5. Step 5: Solve for x
    x = 2,036,880,001.40/47,171.34
  6. Step 6: Final answer
    x = 43,180.46

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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.