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Finding the Fourth Proportional to 106,499.70, 146,962.31 and 58,753.84

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Solution

The fourth proportional to 106,499.70, 146,962.31 and 58,753.84 is: 81,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,499.70 : 146,962.31 = 58,753.84 : x
  2. Step 2: Convert to fraction form
    106,499.70/146,962.31 = 58,753.84/x
  3. Step 3: Cross multiply
    106,499.70x = 146,962.31 × 58,753.84
  4. Step 4: Simplify right side
    106,499.70x = 8,634,600,047.77
  5. Step 5: Solve for x
    x = 8,634,600,047.77/106,499.70
  6. Step 6: Final answer
    x = 81,076.29

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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.