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Finding the Fourth Proportional to 51,266.84, 70,753.11 and 31,119.09

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Solution

The fourth proportional to 51,266.84, 70,753.11 and 31,119.09 is: 42,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,266.84 : 70,753.11 = 31,119.09 : x
  2. Step 2: Convert to fraction form
    51,266.84/70,753.11 = 31,119.09/x
  3. Step 3: Cross multiply
    51,266.84x = 70,753.11 × 31,119.09
  4. Step 4: Simplify right side
    51,266.84x = 2,201,772,397.87
  5. Step 5: Solve for x
    x = 2,201,772,397.87/51,266.84
  6. Step 6: Final answer
    x = 42,947.30

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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.