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Finding the Fourth Proportional to 97,571.70, 146,411.46 and 47,652.12

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Solution

The fourth proportional to 97,571.70, 146,411.46 and 47,652.12 is: 71,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,571.70 : 146,411.46 = 47,652.12 : x
  2. Step 2: Convert to fraction form
    97,571.70/146,411.46 = 47,652.12/x
  3. Step 3: Cross multiply
    97,571.70x = 146,411.46 × 47,652.12
  4. Step 4: Simplify right side
    97,571.70x = 6,976,816,461.30
  5. Step 5: Solve for x
    x = 6,976,816,461.30/97,571.70
  6. Step 6: Final answer
    x = 71,504.51

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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.