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Finding the Fourth Proportional to 65,192.63, 89,965.82 and 35,384.63

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Solution

The fourth proportional to 65,192.63, 89,965.82 and 35,384.63 is: 48,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192.63 : 89,965.82 = 35,384.63 : x
  2. Step 2: Convert to fraction form
    65,192.63/89,965.82 = 35,384.63/x
  3. Step 3: Cross multiply
    65,192.63x = 89,965.82 × 35,384.63
  4. Step 4: Simplify right side
    65,192.63x = 3,183,406,891.98
  5. Step 5: Solve for x
    x = 3,183,406,891.98/65,192.63
  6. Step 6: Final answer
    x = 48,830.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.