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Finding the Fourth Proportional to 99,964.84, 150,020.94 and 47,374.24

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Solution

The fourth proportional to 99,964.84, 150,020.94 and 47,374.24 is: 71,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,964.84 : 150,020.94 = 47,374.24 : x
  2. Step 2: Convert to fraction form
    99,964.84/150,020.94 = 47,374.24/x
  3. Step 3: Cross multiply
    99,964.84x = 150,020.94 × 47,374.24
  4. Step 4: Simplify right side
    99,964.84x = 7,107,128,016.59
  5. Step 5: Solve for x
    x = 7,107,128,016.59/99,964.84
  6. Step 6: Final answer
    x = 71,096.28

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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.