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Finding the Fourth Proportional to 84,658.72, 127,046.40 and 37,963.84

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Solution

The fourth proportional to 84,658.72, 127,046.40 and 37,963.84 is: 56,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,658.72 : 127,046.40 = 37,963.84 : x
  2. Step 2: Convert to fraction form
    84,658.72/127,046.40 = 37,963.84/x
  3. Step 3: Cross multiply
    84,658.72x = 127,046.40 × 37,963.84
  4. Step 4: Simplify right side
    84,658.72x = 4,823,169,202.18
  5. Step 5: Solve for x
    x = 4,823,169,202.18/84,658.72
  6. Step 6: Final answer
    x = 56,971.91

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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.