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Finding the Fourth Proportional to 76,225.32, 114,377 and 36,289.48

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Solution

The fourth proportional to 76,225.32, 114,377 and 36,289.48 is: 54,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,225.32 : 114,377 = 36,289.48 : x
  2. Step 2: Convert to fraction form
    76,225.32/114,377 = 36,289.48/x
  3. Step 3: Cross multiply
    76,225.32x = 114,377 × 36,289.48
  4. Step 4: Simplify right side
    76,225.32x = 4,150,681,853.96
  5. Step 5: Solve for x
    x = 4,150,681,853.96/76,225.32
  6. Step 6: Final answer
    x = 54,452.80

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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.