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Finding the Fourth Proportional to 130,647, 195,971.46 and 32,151

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Solution

The fourth proportional to 130,647, 195,971.46 and 32,151 is: 48,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,647 : 195,971.46 = 32,151 : x
  2. Step 2: Convert to fraction form
    130,647/195,971.46 = 32,151/x
  3. Step 3: Cross multiply
    130,647x = 195,971.46 × 32,151
  4. Step 4: Simplify right side
    130,647x = 6,300,678,410.46
  5. Step 5: Solve for x
    x = 6,300,678,410.46/130,647
  6. Step 6: Final answer
    x = 48,226.74

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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.