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Finding the Fourth Proportional to 77,375.34, 116,063.10 and 21,216.06

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Solution

The fourth proportional to 77,375.34, 116,063.10 and 21,216.06 is: 31,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,375.34 : 116,063.10 = 21,216.06 : x
  2. Step 2: Convert to fraction form
    77,375.34/116,063.10 = 21,216.06/x
  3. Step 3: Cross multiply
    77,375.34x = 116,063.10 × 21,216.06
  4. Step 4: Simplify right side
    77,375.34x = 2,462,401,693.39
  5. Step 5: Solve for x
    x = 2,462,401,693.39/77,375.34
  6. Step 6: Final answer
    x = 31,824.11

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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.