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Finding the Fourth Proportional to 77,467.85, 116,202.29 and 21,313.89

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Solution

The fourth proportional to 77,467.85, 116,202.29 and 21,313.89 is: 31,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,467.85 : 116,202.29 = 21,313.89 : x
  2. Step 2: Convert to fraction form
    77,467.85/116,202.29 = 21,313.89/x
  3. Step 3: Cross multiply
    77,467.85x = 116,202.29 × 21,313.89
  4. Step 4: Simplify right side
    77,467.85x = 2,476,723,235.92
  5. Step 5: Solve for x
    x = 2,476,723,235.92/77,467.85
  6. Step 6: Final answer
    x = 31,970.98

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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.