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Finding the Fourth Proportional to 98,752.70, 148,152.46 and 32,193.20

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Solution

The fourth proportional to 98,752.70, 148,152.46 and 32,193.20 is: 48,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752.70 : 148,152.46 = 32,193.20 : x
  2. Step 2: Convert to fraction form
    98,752.70/148,152.46 = 32,193.20/x
  3. Step 3: Cross multiply
    98,752.70x = 148,152.46 × 32,193.20
  4. Step 4: Simplify right side
    98,752.70x = 4,769,501,775.27
  5. Step 5: Solve for x
    x = 4,769,501,775.27/98,752.70
  6. Step 6: Final answer
    x = 48,297.43

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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.