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Finding the Fourth Proportional to 83,957.40, 125,936.10 and 31,364.10

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Solution

The fourth proportional to 83,957.40, 125,936.10 and 31,364.10 is: 47,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.40 : 125,936.10 = 31,364.10 : x
  2. Step 2: Convert to fraction form
    83,957.40/125,936.10 = 31,364.10/x
  3. Step 3: Cross multiply
    83,957.40x = 125,936.10 × 31,364.10
  4. Step 4: Simplify right side
    83,957.40x = 3,949,872,434.01
  5. Step 5: Solve for x
    x = 3,949,872,434.01/83,957.40
  6. Step 6: Final answer
    x = 47,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.