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Finding the Fourth Proportional to 35,980.34, 53,964.43 and 9,679.23

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Solution

The fourth proportional to 35,980.34, 53,964.43 and 9,679.23 is: 14,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.34 : 53,964.43 = 9,679.23 : x
  2. Step 2: Convert to fraction form
    35,980.34/53,964.43 = 9,679.23/x
  3. Step 3: Cross multiply
    35,980.34x = 53,964.43 × 9,679.23
  4. Step 4: Simplify right side
    35,980.34x = 522,334,105.59
  5. Step 5: Solve for x
    x = 522,334,105.59/35,980.34
  6. Step 6: Final answer
    x = 14,517.21

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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.