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Finding the Fourth Proportional to 62,966, 86,891.36 and 34,671.84

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Solution

The fourth proportional to 62,966, 86,891.36 and 34,671.84 is: 47,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,966 : 86,891.36 = 34,671.84 : x
  2. Step 2: Convert to fraction form
    62,966/86,891.36 = 34,671.84/x
  3. Step 3: Cross multiply
    62,966x = 86,891.36 × 34,671.84
  4. Step 4: Simplify right side
    62,966x = 3,012,683,331.30
  5. Step 5: Solve for x
    x = 3,012,683,331.30/62,966
  6. Step 6: Final answer
    x = 47,846.19

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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.