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Finding the Fourth Proportional to 76,418.59, 114,591.01 and 32,033.42

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Solution

The fourth proportional to 76,418.59, 114,591.01 and 32,033.42 is: 48,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.59 : 114,591.01 = 32,033.42 : x
  2. Step 2: Convert to fraction form
    76,418.59/114,591.01 = 32,033.42/x
  3. Step 3: Cross multiply
    76,418.59x = 114,591.01 × 32,033.42
  4. Step 4: Simplify right side
    76,418.59x = 3,670,742,432.87
  5. Step 5: Solve for x
    x = 3,670,742,432.87/76,418.59
  6. Step 6: Final answer
    x = 48,034.68

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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.