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Finding the Fourth Proportional to 76,421.80, 114,719.10 and 45,274.60

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Solution

The fourth proportional to 76,421.80, 114,719.10 and 45,274.60 is: 67,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,421.80 : 114,719.10 = 45,274.60 : x
  2. Step 2: Convert to fraction form
    76,421.80/114,719.10 = 45,274.60/x
  3. Step 3: Cross multiply
    76,421.80x = 114,719.10 × 45,274.60
  4. Step 4: Simplify right side
    76,421.80x = 5,193,861,364.86
  5. Step 5: Solve for x
    x = 5,193,861,364.86/76,421.80
  6. Step 6: Final answer
    x = 67,963.09

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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.