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Finding the Fourth Proportional to 35,490.62, 53,245.50 and 11,802

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Solution

The fourth proportional to 35,490.62, 53,245.50 and 11,802 is: 17,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490.62 : 53,245.50 = 11,802 : x
  2. Step 2: Convert to fraction form
    35,490.62/53,245.50 = 11,802/x
  3. Step 3: Cross multiply
    35,490.62x = 53,245.50 × 11,802
  4. Step 4: Simplify right side
    35,490.62x = 628,403,331.99
  5. Step 5: Solve for x
    x = 628,403,331.99/35,490.62
  6. Step 6: Final answer
    x = 17,706.18

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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.