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Finding the Fourth Proportional to 52,011.44, 71,745 and 31,877.36

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Solution

The fourth proportional to 52,011.44, 71,745 and 31,877.36 is: 43,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.44 : 71,745 = 31,877.36 : x
  2. Step 2: Convert to fraction form
    52,011.44/71,745 = 31,877.36/x
  3. Step 3: Cross multiply
    52,011.44x = 71,745 × 31,877.36
  4. Step 4: Simplify right side
    52,011.44x = 2,287,041,193.20
  5. Step 5: Solve for x
    x = 2,287,041,193.20/52,011.44
  6. Step 6: Final answer
    x = 43,971.89

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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.