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Finding the Fourth Proportional to 51,398.49, 70,871.18 and 41,812.14

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Solution

The fourth proportional to 51,398.49, 70,871.18 and 41,812.14 is: 57,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.49 : 70,871.18 = 41,812.14 : x
  2. Step 2: Convert to fraction form
    51,398.49/70,871.18 = 41,812.14/x
  3. Step 3: Cross multiply
    51,398.49x = 70,871.18 × 41,812.14
  4. Step 4: Simplify right side
    51,398.49x = 2,963,275,491.06
  5. Step 5: Solve for x
    x = 2,963,275,491.06/51,398.49
  6. Step 6: Final answer
    x = 57,652.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.