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Finding the Fourth Proportional to 83,962.21, 115,866.70 and 45,721.37

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Solution

The fourth proportional to 83,962.21, 115,866.70 and 45,721.37 is: 63,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,962.21 : 115,866.70 = 45,721.37 : x
  2. Step 2: Convert to fraction form
    83,962.21/115,866.70 = 45,721.37/x
  3. Step 3: Cross multiply
    83,962.21x = 115,866.70 × 45,721.37
  4. Step 4: Simplify right side
    83,962.21x = 5,297,584,261.38
  5. Step 5: Solve for x
    x = 5,297,584,261.38/83,962.21
  6. Step 6: Final answer
    x = 63,094.86

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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.