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Finding the Fourth Proportional to 76,157.34, 114,309.84 and 36,742.14

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Solution

The fourth proportional to 76,157.34, 114,309.84 and 36,742.14 is: 55,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,157.34 : 114,309.84 = 36,742.14 : x
  2. Step 2: Convert to fraction form
    76,157.34/114,309.84 = 36,742.14/x
  3. Step 3: Cross multiply
    76,157.34x = 114,309.84 × 36,742.14
  4. Step 4: Simplify right side
    76,157.34x = 4,199,988,144.66
  5. Step 5: Solve for x
    x = 4,199,988,144.66/76,157.34
  6. Step 6: Final answer
    x = 55,148.83

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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.