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Finding the Fourth Proportional to 76,142, 114,213 and 20,738

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Solution

The fourth proportional to 76,142, 114,213 and 20,738 is: 31,107

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142 : 114,213 = 20,738 : x
  2. Step 2: Convert to fraction form
    76,142/114,213 = 20,738/x
  3. Step 3: Cross multiply
    76,142x = 114,213 × 20,738
  4. Step 4: Simplify right side
    76,142x = 2,368,549,194
  5. Step 5: Solve for x
    x = 2,368,549,194/76,142
  6. Step 6: Final answer
    x = 31,107

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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.