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Finding the Fourth Proportional to 76,635.90, 114,906.42 and 32,239.80

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Solution

The fourth proportional to 76,635.90, 114,906.42 and 32,239.80 is: 48,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,635.90 : 114,906.42 = 32,239.80 : x
  2. Step 2: Convert to fraction form
    76,635.90/114,906.42 = 32,239.80/x
  3. Step 3: Cross multiply
    76,635.90x = 114,906.42 × 32,239.80
  4. Step 4: Simplify right side
    76,635.90x = 3,704,559,999.52
  5. Step 5: Solve for x
    x = 3,704,559,999.52/76,635.90
  6. Step 6: Final answer
    x = 48,339.75

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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.