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Finding the Fourth Proportional to 76,532.48, 114,714.48 and 32,144.48

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Solution

The fourth proportional to 76,532.48, 114,714.48 and 32,144.48 is: 48,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,532.48 : 114,714.48 = 32,144.48 : x
  2. Step 2: Convert to fraction form
    76,532.48/114,714.48 = 32,144.48/x
  3. Step 3: Cross multiply
    76,532.48x = 114,714.48 × 32,144.48
  4. Step 4: Simplify right side
    76,532.48x = 3,687,437,308.07
  5. Step 5: Solve for x
    x = 3,687,437,308.07/76,532.48
  6. Step 6: Final answer
    x = 48,181.34

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1.5x scale

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.