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Finding the Fourth Proportional to 76,158.34, 114,311.34 and 36,743.14

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Solution

The fourth proportional to 76,158.34, 114,311.34 and 36,743.14 is: 55,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158.34 : 114,311.34 = 36,743.14 : x
  2. Step 2: Convert to fraction form
    76,158.34/114,311.34 = 36,743.14/x
  3. Step 3: Cross multiply
    76,158.34x = 114,311.34 × 36,743.14
  4. Step 4: Simplify right side
    76,158.34x = 4,200,157,569.21
  5. Step 5: Solve for x
    x = 4,200,157,569.21/76,158.34
  6. Step 6: Final answer
    x = 55,150.33

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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.