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Finding the Fourth Proportional to 77,031.50, 115,553.82 and 21,627.50

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Solution

The fourth proportional to 77,031.50, 115,553.82 and 21,627.50 is: 32,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.50 : 115,553.82 = 21,627.50 : x
  2. Step 2: Convert to fraction form
    77,031.50/115,553.82 = 21,627.50/x
  3. Step 3: Cross multiply
    77,031.50x = 115,553.82 × 21,627.50
  4. Step 4: Simplify right side
    77,031.50x = 2,499,140,242.05
  5. Step 5: Solve for x
    x = 2,499,140,242.05/77,031.50
  6. Step 6: Final answer
    x = 32,443.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.