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Finding the Fourth Proportional to 76,011, 114,018.12 and 26,090.88

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Solution

The fourth proportional to 76,011, 114,018.12 and 26,090.88 is: 39,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,011 : 114,018.12 = 26,090.88 : x
  2. Step 2: Convert to fraction form
    76,011/114,018.12 = 26,090.88/x
  3. Step 3: Cross multiply
    76,011x = 114,018.12 × 26,090.88
  4. Step 4: Simplify right side
    76,011x = 2,974,833,086.75
  5. Step 5: Solve for x
    x = 2,974,833,086.75/76,011
  6. Step 6: Final answer
    x = 39,136.88

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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.